# Reflex Angle In A Circle

Vertically opposite angles. The pathway of the reflex action is called Reflex arc. Four different types of angles are: central, inscribed, interior, and exterior. Graphics View–After selecting a tool from the menu bar or the tool bar, click in. Rs Aggarwal 2018 Solutions for Class 9 Math Chapter 12 Circles are provided here with simple step-by-step explanations. You should know that:(a) the opposite angles of a cyclic quadrilateral sum to 180°i. This worksheet provides the student with a set of angles. The word locus sounds complicated, but it means set of all points on a plane. c) is the angle at the centre subtended by arc AB. Are open iron sights more accurate than a reflex sight? Assume the reflex sight is parallax free, the dot is the same moa as the front blade, eyesight is 20/20, speed of target acquisition is not a factor, only accuracy. CIRCLE THEOREM WORKSHEET If reflex LAOB = 2100, calculate LACB, In the diagram, O is the centre of the circle. Illustrated definition of Reflex Angle: An angle that is more than 180deg but less than 360deg (In other words, more than a straight angle, but. 7 + x x = 180 - 90 - 63. Control the Roboidz with your knowledge of different types of angles in this exciting Mission 2110 game. Lie a zero line of the protractor over one side of the angle. - Identify, measure, and draw angles in a circle. JPoint™ Micro-Electronic Reflex Sight. Reflex angles measure greater than 180° and less than 360°. Calculate the angle. For example, in 35 ÷ 5 = 7, the quotient is 7. Obtuse Angle - 90° to 180°, both exclusive. $$\measuredangle HRL, \, \measuredangle HRO$$ are adjacent. An environment with four landmarks denoted Fig. This crossword contains the following questions and answers: reflex Two lines that form right angles where they intersect. Complementary and supplementary angles; 6. The dot of a scope measured in MOA and stands for minute of angle. I may be on a wild goose chase here, but I am looking for a physical definition of a complex angle, i. 3) use what to measure central angles and reflex angles?. Relative position of a straight line and a circle. the angle bounded by two lines perpendicular to each other : an angle of 90° or 1/2 π radians…. Online Math Dictionary: R - Cool Math has free online cool math lessons, cool math games and fun math activities. The proof of this theorem is quite simple, and uses the exterior angle theorem - an exterior angle of a triangle is equal to the sum of the opposite interior angles. 2) A circle has an arc length of 5. Measure the other the angles using the Angle tool. Don't Memorise brings learning to life through its captivating. We have many A-Z keywords for this term. Best Answer: Compare clock with a circle. songtreebooks. An angle of exactly 180° is said to be straight. In half format, this lens covers a range from light to medium telephoto, image angle is roughly comparable to a 65-135 mm lens with full-size 24x36 mm image format. Determine the length of the unknown side in each right triangle. Binocular vision is one of the hallmarks of the human race that has bestowed on it the supremacy in the hierarchy of the animal kingdom. In the figure, angle ACB= half of 60=30 angle C+angleD=180 30+angleD=180 Hence, angleD=150. A reflex angle is any angle that is more than 180 degrees (half circle) and less than 360 degrees (full circle). If the two lines are parallel, then co-interior angles add to give 180 o and so are supplementary. as their arms. songtreebooks. Looking for Buy Viper Reflex Sight Vortex Optics? Here is the place for you to shop for buy Viper Reflex Sight Vortex Optics in special value. This is a file from the Wikimedia Commons. Circumference and area of a circle. Here, you see examples of these different types of angles. All structured data from the file and property namespaces is available under the Creative Commons CC0 License; all unstructured text is available under the Creative Commons Attribution-ShareAlike License; additional terms may apply. A reflex angle is the larger angle, it’s always more than 180 ° (half a circle) but less than 360 ° (A full circle). - Name and classify quadrilaterals on sides and angles. Activity 2. Angles are important to defining and studying polygons such as triangles and quadrilaterals. What type of angles are greater than 90⁰ and less than 180⁰? The correct answer is: C. The required angle is outside the one that has been drawn. It is , therefore, the longest possible chord of a circle. The angle slider adjusts the overall orientation of polygon. If you simply apply your dining chairs a couple of times per year and you get a little room, you might want to stack them from the way or move them to other rooms in the home to use as additional seating. (a) Calculate the size of the angle marked x. “Reflex” is an adjective used to describe an angle greater than 180 degrees, but less than 360 degrees. Today, we at Shooting Range Industries would like to expound on the reflex sights. if a circle is divide into 40 equal parts, what will be the angle of each part of the circle; if a circle is divide into 60 equal parts, what will be the angle of each part of the circle; Exercises: Measurement of angle. Files are available under licenses specified on their description page. - Add and subtract angles measures in real world. Therefore, to find the coterminal angle to a 50° angle, just add 360°. Whether you are studying for a school exam or just looking to challenge your geometry skills, this test will help you assess your knowledge. Complementary angles add to give 90°. Definition of a reflex angle (one whose measure is greater than 180 degrees but less than 360 degrees). To draw a reflex angle (i. The arc length is the measure of a given section of a circle's circumference; a central angle has a vertex at the center of the circle and the sides that pass. Two of these points lie on either angle sides, and the third is the vertex. One Step Proofs Using Congruence Remember our textbook begins with the premise that congruent figures are images of each other under a transformation. The SaddleRight Pad was designed to deflect the impact on a horse’s muscles and reflex centers. Simply click the circle background ctrl followed by a colour from the colour picker. Reflex angles measure more than 180° and. A full angle is 360°. 3) use what to measure central angles and reflex angles?. The two radii divide the circle into two sectors, called correspondingly the major sector OAB and the minor sector OAB. $$\measuredangle HRL, \, \measuredangle HRO$$ are adjacent. A circle is a shape with all points the same distance from its center. Although the circle is a closed figure, it is not formed by straight line segments. Answer degrees A, B and C are points on the circumference of a circle with centre O. The reflex angle at the centre of the circle is 280°. etched on glass. An angle that is larger than 180 degrees but smaller than a full turn is called a reflex angle. If the circumference of a circle is divided into 360 equal parts, the central angle of each of the 360 parts is an angle of one sexagesimal degree. It is an angle that is greater than 180 and less than 360. Angles of the Unit Circle - Radians. A-Z Keywords. Straight Angle - Exactly 180°. Then, students. 25 osdbwn3810-Red Dot & Laser Scopes. Given : A circle with center at O. The angle can also be locked when taking readings. The easiest way to measure this angle is to measure the smaller angle and subtract it from 360º (a full circle). A reflex angle is any angle that is more than 180 degrees (half circle) and less than 360 degrees (full circle). A non-reflex angle is the acute or obtuse instance of an angle. Circle Theorem Pairs: A pairs game based around ten theorems about the angles made with chords, radii and tangents of circles. Angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle. The steps necessary to find the measure of angle θ at time t are: Finding the measurement of angle A measured clockwise from the 12 o'clock position, Fig. Two angles are known as supplementary (supplementing each other) if the sum of their magnitudes is equal to 180 degrees. the unusual. Defined in: sector. That is the size of the angle! When dealing with reflex angles, a full circle protractor may be better for the purpose, but let's stick to using a half-circle for now. a)Draw an example of a reflex angle. There are four important types of angle: acute, right, obtuse, and reflex. Tuvalu 2012 1$Marilyn Monroe Proof. Define reflex. Angles between 90 ° and 180 ° are obtuse angles Angles between 180 ° and 360 ° are reflex angles So you can easily identify the three types of angle. Obtuse Angle: Measures greater than 90 degrees but less than 180 degrees. 6 square inches. Example: How many degrees are in the fourth angle of a quadrilateral whose other three angles are 80 o and 110 o and 95 o?. Measuring Angles. Given two points A and B, lines from them to center of the circle form the central angle ∠ AOB.$\endgroup$– BlackAdder Jul 28 '13 at 14:43. When defining or drawing a central angle, in addition to specifying the points A and B , one must specify whether the angle being defined is the convex angle (<180°) or the reflex angle (>180°). A circle has 360 degrees. When the quadrilateral and the circle passing through its vertices are both shown, the quadrilateral is said to be inscribed within the circle and the circle is said to be circumscribed about the quadrilateral. Angle in a semi-circle; Angle in a semi-circle (proof) Simple Angle at the Centre (Reflex Case) Angle at the centre (page 1) Angle at the centre (page 2). Obtuse Acute Obtuse Reflex Acute Acute Reflex Reflex Sport Angle Football 110 ° Swimming 70 ° Tennis 80 ° Rugby 40 ° Hockey 30 ° Badminton 10 ° Other 20 ° 5. Division Dash (Student Reference Book, p. The slider in the top right corner of the unit circle can be. You'll also become familiar with the basics of the linear pairs of angles. Most worksheets require students to identify or analyze acute, obtuse, and right angles. The distance between two angle vectors X = [x1. The degrees of the reflex angle and the degrees of the smaller acute angle would add up to 360. The non‑reflex angle /AOB is called the angle subtended by the minor arc AB, and is also the angle subtended by the chord AB. Circles A circle is a set of points, located on a plane, that are equidistant from a common central point (center point). We know that-- angle suspended by arc of circle at center is twice the angle suspended at any point on remaining part of the circle. The reflex angle /AOB is called the angle subtended by the major arc AB. complementary angles. Three of these angles are acute, and two are obtuse. If you’re new to snowboarding, mount your snowboard bindings in what is called the “duck stance” position, where both feet are angled away from each other. An angle and its reflex angle will add up to 360 degrees. $$\measuredangle HRL, \, \measuredangle HRO$$ are adjacent. Measure angles in whole-number degrees using a protractor. One Step Proofs Using Congruence Remember our textbook begins with the premise that congruent figures are images of each other under a transformation. Further complementary, supplementary and angles at a point. Circle theorems proof: angles at circumference\centre Video 65b Practice Questions. A full circle has 360 degrees, which means that 100% of the circle is 360 degrees. A full-circle protractor can be used to measure and draw angles up to 360°. What type of angles are greater than 90⁰ and less than 180⁰? The correct answer is: C. Give each group an envelope containing the angle cards (see Resources). Your course needs to have the following: 1. xn ] and Y = [y1. Angles greater than 180° are called reflex angles. The angle subtended by the minor arc PQ at O is ∠POQ and the angle subtended by the major arc PQ at O is reflex angle POQ. A trivia quiz called Unit 5 Part 1 C - Reflex Arc. Reflex: An angle is said to be reflex if it measures between 180 0 and 360 0 exclusively. A convex central angle is a central angle that measures less than 180°. Angles in circle. Greek letters are used as variable for angle measurements. Apart from those six types of angles, we have two types of relative angles namely complementary angles and supplementary angles. 469 The area of a circle is given by the formula pi r^2 where r is the radius. Angles as numbers; 4. Lines, rays, and angles - a free geometry lesson with In each of these pictures the angle is opened more and more and keeps getting bigger. A positive angle is created by rotating counter-clockwise around the origin of a coordinate system, starting at the x-axis (the horizontal axis) and proceeding through the quadrants in the order I, II, III, IV. Korea South C12-C16,mixed. Example: Find the area of a sector of a circle if the angle between the two radii forming the sector is 80 degrees and the diameter of the circle is 9 inches. We normally give the smaller of the two possible answers, so 145°. Two angles that sum to one full circle (360°) are called explementary angles or conjugate angles. It is called a reflex angle, because it is more than 180° but less than 360°. Angle STU = 90° Angles in a triangle add up to 180°. Types of Angles. Activity 2. One Step Proofs Using Congruence Remember our textbook begins with the premise that congruent figures are images of each other under a transformation. and PRQ is minor segment in the circle. If a 5-point star sits inside a circle, that means each point is 360/5 = 72 degrees away from its neighbors. Have your child make a reflex angle with the pencils. Douglas C-7 over East Gate,Ucla Bruins Girocollo Maglione Felpa da Tailgate Taglia L Nwt 40% Off,CONGO 1971 Sport 75° Anniversario Giochi Olimpici Moderni MNH** Yvert A129-33. below, the coordinate axes and grid in the graphics view have been turned on. This website and its content is subject to our Terms and Conditions. ) is projected forward, from a point behind the objective lens, and is then reflected off the back of the objective lens assembly toward the shooter's eye. Ahh I get you, I didn't realise reflex could be either. ↳ Angle ↳ NonReflexAngle. If the central angle formed between the rays is equal to the radius of the circle, we call it one radian. A review and summary of the properties of angles that can be formed in a circle and their theorems, Angles in a Circle - diameter, radius, arc, tangent, circumference, area of circle, circle theorems, examples and step by step solutions, inscribed angles, central angles, angles in a semicircle, alternate segment theorem, angles in a cyclic quadrilateral, Two-tangent Theorem. an angle greater than 90° but less than 180°. Arcs An arc of a circle is the part of the circumference of the circle that is cut off by a chord. Another tactical red-dot sight from TruGlo, the Triton 30mm Tri-Color has a 5-MOA illuminated reticle with three reticle color choices: red, green or blue. Shapes 2 and 4 D. These angles are acute angles, which means they are less than a right angle (less than 90°). A Complete angle is 360°. Right angles are formed by two lines that are perpendicular to one another. There are: To measure an angle: 1. A full-circle protractor can be used to measure and draw angles up to 360°. Right Angle A right angle is an angle with measure equal to 90 degrees. Supplementary angles can be placed so that they form a straight line. The red ellipses are muscles: The top muscle is the quadriceps, which is modeled in the simulation and whose shortening is controlled by the model. If the reflex angle measured 190 degrees, then there would be a 170 degree, or obtuse, angle opposite it. Use the sine formula to infer the measure of the angle from the distance between two points along the angle's lines a certain distance from the angle's origin. Label the angle at the centre – I used c. we can get acute by dot product and acos. Central angles are subtended by an arc between those two points, and the arc length is the central angle of a circle of radius one (measured in radians). Range of 100 yards. So the hour hand is 30 + 30 + 25 = 85° past the midnight position. Student Reference Book, p. Definition of "reflection" at Define. This is the angle all the way round a point. 5"D), at the front edge of the work. This section contains measuring angles with protractor, reading protractor, drawing angles, estimating angle measures, simple problems based on solving equations and more. below, the coordinate axes and grid in the graphics view have been turned on. PSQ is major segment. Hence, the size of the angle is measured by the amount of turn between the two rays. These include not only sides and angles, but also diagonals and angle bisectors. ↳ Angle ↳ NonReflexAngle. That is the size of the angle! When dealing with reflex angles, a full circle protractor may be better for the purpose, but let's stick to using a half-circle for now. Figure 1: Note how each angle is labeled with its degree of measure. A cyclic quadrilateral is a quadrilateral drawn inside a circle so that its corners lie on the circumference of the circle. Using a Half-Circle Protractor. From the uncompromising demands of 3-Gun and IPSC competition to life-or-death duty in the Middle East,. Supplementary angles: In the figure above, ∠AOC + ∠COB = ∠AOB = 180° If the sum of two angles is 180° then the angles are called supplementary angles. reflex angle. Measuring angles with a protractor; 5. Measure the reflex angle in the diagram shown (a reflex angle is more than 180º). Examples with step by step solutions, Angles, triangles, polygons, circles, circle theorems, solid geometry, geometric formulas, coordinate geometry and graphs, geometric constructions, geometric transformations, geometric proofs, Graphing Calculator. arrow beneath the icon to select a different tool from that tool group. Congruent angles are denoted as $$\angle A\cong \angle B$$ Or could be shown by an arc on the figure to. Fyland Green Reflex 4 reticles 1x 33 mm Free Shipping New Red with orzqtz985-Red Dot & Laser Scopes LEE PRECISION. We use an arc to show where we’re measuring. Using a Half-Circle Protractor. The letter A is composed of 3 line segments which meet in three places and form 5 angles less than 180 degrees. Circle Tangents. This is a file from the Wikimedia Commons. How to use right angle in a sentence. Solution:. introduction to types of angles. reflex center synonyms, reflex center pronunciation, reflex center translation, English dictionary definition of reflex center. The concepts which could be involved include interior and exterior regions of a polygon, interior angle of a polygon, collinear points (points which lie on a line), convexity and non-convexity, angle measure, triangulation, reflex angle, and basic graph theory. An angle measuring 46 o. This page was last edited on 18 November 2016, at 01:28. They are measured in degrees, which are represented by the symbol °. straight angle. Reflex: An angle is said to be reflex if it measures between 180 0 and 360 0 exclusively. songtreebooks. The angle at the centre of a circle standing on a given arc is twice the angle at any point of the circle standing on the same arc [PR] Cor 2. ), or by employing an instrument having two arms, each furnished with a pair of sights, and. the unusual. For example, a right angle is more fundamentally a quarter of a circle rather than a sum of 90 degrees. Vertically opposite angles. The non‑reflex angle /AOB is called the angle subtended by the minor arc AB, and is also the angle subtended by the chord AB. The maximum angle is 360°. " the angle subtended by an arc of a circle at the centre is double the angle subtended by it at any point on the circle " Reflex angle$(ACB) = 2\times$angle. Two angles that sum to one full circle (360°) are called explementary angles or conjugate angles. 180° < reflex ∠AOB < 360°. To draw a reflex angle (i. For Basic concepts of angles and Different Types of Angles in Geometry like Zero Angle, Acute Angle, Right Angle, Obtuse angle, Straight Angle, Reflex Angle & Complete angle go through the below link. Then subtract from 360 to get the measure of the reflex angle. If the central angle is measured more than 180-degree then it is a reflex central angle. Central angles are subtended by an arc between those two points, and the arc length is the central angle of a circle of radius one (measured in radians). The proof of this theorem is quite simple, and uses the exterior angle theorem – an exterior angle of a triangle is equal to the sum of the opposite interior angles. Now you need to convert into a decimal. Krista Schyler also makes the comparison between the Mexico/US wall and the Berlin wall, in this case, not only focusing on the impact on human migration, but from a wildlife conservation angle as well: Image by Natalie Maynor used on post according to Creative Commons Attribution License. LESSON PLAN: Math Example – Circle Geometry: A Paper Folding Journey 1. It is defined by a center, one point that defines the radius, and a third point that defines the angle of the sector. a+ c = 180°b + d = 180° (b) the exterior angle of a cyclic quadrilateral is equal to the interioropposite anglei. Related pages. To determine the length of this side, the two right triangles DCM and QCM are depicted below the circle. The central angle is the smaller of the two at the center. and C form a tangent to the circle at point B. The dots are rendered with a general "point of light" texture that is probably used in other places in the game, so I didn't want to modify it. A straight angle is the same as half the circle and is 180° whereas a right angle is a quarter of a circle and is 90°. What is the ESSENTIAL QUESTION that I want my students to be able to answer? Why are circles important in our lives? What are some applications of circles in our world today? 2. Angles in circle. A cyclic quadrilateral is a quadrilateral with all four vertices on the circumference of a circle. Therefore, to find the coterminal angle to a 50° angle, just add 360°. x) For a discussion of the issues to be aware of when using this formula see the page here. The following figure shown an example of an angle where the vertex of the angle is point O. Mount behind your primary optic for fast transition from a magnified view to close-in sighting by rotating the rifle slightly. The video below explains what an angle measure is, how to measure angles with a protractor, and how to draw angles with a protractor. Angles are also categorized as supplementary and complementary angles. For example, in 35 ÷ 5 = 7, the quotient is 7. A central angle is an angle whose vertex is at the center of a circle. The store will have the following information. Example: Find the area of a sector of a circle if the angle between the two radii forming the sector is 80 degrees and the diameter of the circle is 9 inches. ideal for ks2 groups as an introduction to, or, revision of different angle types. This is an angle whose measure is exactly 360° - basically a full circle. Avoid any collision with other cars or walls. What type of angles are greater than 90⁰ and less than 180⁰? The correct answer is: C. Introduction to Lines & Angles; A plane; A line; A line segment; A ray; An angle; Vertex; A right angle; An acute angle; An obtuse angle; A straight angle; A whole circle; A reflex angle; Intersecting lines; A perpendicular line; A bisector; Parallel lines; Triangles. Given two points A and B, lines from them to center of the circle form the central angle ∠ AOB. Let angle CDE = and angle EFC =. The red ellipses are muscles: The top muscle is the quadriceps, which is modeled in the simulation and whose shortening is controlled by the model. Right angles are formed by two lines that are perpendicular to one another. A reflex angle is greater than 180 degrees but less than 360 degrees. You can display the circle which is initially transparent. Label the angle. This obtuse angle is defined if the angles are between 90 degree and 180 degree. We offer them for FREE unlike many other keyword services, however we do require that you are a registered member to view them all so that the costs will remain lower for Us. Your course needs to have the following: 1. Pairs of Angles. Vertically opposite angles. This is an angle whose measure is exactly 360° - basically a full circle. Miter Angles and Miter Saws by Jesper Cook on July 29, 2011 Miter saw gauges confuse a lot of finish carpenters for one simple reason—they aren’t designed for finish carpentry, they’re designed for framing and stairs. A full-circle protractor can be used to measure and draw angles up to 360°. Free Printable Measuring Angles Worksheets, a great resource to teach students how to measure and classify the angles. A circle has 360 degrees and if you had an angle, lets just say 60, the reflex angle would be the remaining degrees in a. Most cover acute, obtuse, and right angles. It also identifies the parts of an angle. A central angle has its vertex at the. Central angles are subtended by an arc between those two points, and the arc length is the central angle of a circle of radius one (measured in radians). One of each type is on the Geometry Template. Complementary and supplementary angles; 6. Most angles can be defined as right, obtuse, or acute. Figure 1 A central angle of a circle. and PRQ is minor segment in the circle. A circle has 360 degrees. If the circumference of a circle is divided into 360 equal parts, the central angle of each of the 360 parts is an angle of one sexagesimal degree. Geometry: Properties of Shapes with Reasoning COMPARING AND CLASSIFYING compare and sort common 2-D and 3-D shapes and everyday objects compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes use the properties of rectangles to deduce related facts and find missing lengths and angles. It does not mean the reflex angle ∠ AOB. Students can measure the angles with the protractor and classify Right, Acute, Obtuse and Reflex angles. A positive angle rotates the axes counterclockwise; a negative angle rotates the axes clockwise. Another tactical red-dot sight from TruGlo, the Triton 30mm Tri-Color has a 5-MOA illuminated reticle with three reticle color choices: red, green or blue. The sum of an angle and its reflex angle make a full circle, or 360°. A square has a side of length 13 cm. Angles quiz L1 Level C 1. There are two common ways to measure angles. Reflex angles measure more than 180° and. Right, acute, obtuse and reflex angles explained for primary-school parents and how angles are taught throughout primary school. Q: What do you call a teapot of boiling water on top of mount everest? A: A high-pot-in-use. The reflex angle /AOB is called the angle subtended by the major arc AB. P, Q, R and S are points on the circumference of a circle. A full circle has 360°. d) This is an acute angle. Theorem: The angle subtended by an arc of a circle at its center is twice of the angle it subtends anywhere on the circle's circumference. Supplementary angles are two angles with the sum equal to 180°. One MOA is just slightly over a 1 inch at 100 yards. Marilyn Monroe (1926–1962) was born Norma Jeane Mortenson, but baptized Norma Jeane Baker. $$\measuredangle HRL, \, \measuredangle HRO$$ are adjacent. In case the angle formed is a reflex angle, right click the symbol (the green sector), click on Object Properties on the context menu. True Punishment - Add 40% Critical Chance, but reduces the chance to add to the Combo Counter by -10%. Mathematics Test on Circle Geometry Enoch Lau 10M2 Page 1 Test on Circle Geometry (Chapter 15) Chord Properties of Circles A chord of a circle is any interval that joins two points on the curve. When it’s more than 180° we say it’s a reflex angle. The store will have the following information. This is a file from the Wikimedia Commons. half-circle protractor. straight angle. Given that FG = DE, reflex angle GOB = 252°, angles DBC = 36° and FEG = 20°. In math, the convention for naming angles is either to use the vertex point or by using three points. In each diagram the two marked angles are called co-interior angles. GD is the diameter of the circle. on this page but with a focus on the angle relationship explored in the previous questions. Here, you see examples of these different types of angles. Is there a formula for the sum of the exterior angles of a concave polygon? How do we define exterior angle for the reflex angle in a concave polygon?. Reflex Angle: An angle whose measure is more than 180 degrees but less than 360 degrees. The sum of the interior angles of a quadrilateral are equal to 360 o. A degree (°) has 60 minutes (') and a minute has 60 seconds (''). A reflex angle is an angle greater than 180° but less than 360°. The fact-checkers, whose work is more and more important for those who prefer facts over lies, police the line between fact and falsehood on a day-to-day basis, and do a great job. Today, my small contribution is to pass along a very good overview that reflects on one of Trump’s favorite overarching falsehoods. Namely: Trump describes an America in which everything was going down the tubes under Obama, which is why we needed Trump to make America great again. And he claims that this project has come to fruition, with America setting records for prosperity under his leadership and guidance. “Obama bad; Trump good” is pretty much his analysis in all areas and measurement of U.S. activity, especially economically. Even if this were true, it would reflect poorly on Trump’s character, but it has the added problem of being false, a big lie made up of many small ones. Personally, I don’t assume that all economic measurements directly reflect the leadership of whoever occupies the Oval Office, nor am I smart enough to figure out what causes what in the economy. But the idea that presidents get the credit or the blame for the economy during their tenure is a political fact of life. Trump, in his adorable, immodest mendacity, not only claims credit for everything good that happens in the economy, but tells people, literally and specifically, that they have to vote for him even if they hate him, because without his guidance, their 401(k) accounts “will go down the tubes.” That would be offensive even if it were true, but it is utterly false. The stock market has been on a 10-year run of steady gains that began in 2009, the year Barack Obama was inaugurated. But why would anyone care about that? It’s only an unarguable, stubborn fact. Still, speaking of facts, there are so many measurements and indicators of how the economy is doing, that those not committed to an honest investigation can find evidence for whatever they want to believe. Trump and his most committed followers want to believe that everything was terrible under Barack Obama and great under Trump. That’s baloney. Anyone who believes that believes something false. And a series of charts and graphs published Monday in the Washington Post and explained by Economics Correspondent Heather Long provides the data that tells the tale. The details are complicated. Click through to the link above and you’ll learn much. But the overview is pretty simply this: The U.S. economy had a major meltdown in the last year of the George W. Bush presidency. Again, I’m not smart enough to know how much of this was Bush’s “fault.” But he had been in office for six years when the trouble started. So, if it’s ever reasonable to hold a president accountable for the performance of the economy, the timeline is bad for Bush. GDP growth went negative. Job growth fell sharply and then went negative. Median household income shrank. The Dow Jones Industrial Average dropped by more than 5,000 points! U.S. manufacturing output plunged, as did average home values, as did average hourly wages, as did measures of consumer confidence and most other indicators of economic health. (Backup for that is contained in the Post piece I linked to above.) Barack Obama inherited that mess of falling numbers, which continued during his first year in office, 2009, as he put in place policies designed to turn it around. By 2010, Obama’s second year, pretty much all of the negative numbers had turned positive. By the time Obama was up for reelection in 2012, all of them were headed in the right direction, which is certainly among the reasons voters gave him a second term by a solid (not landslide) margin. Basically, all of those good numbers continued throughout the second Obama term. The U.S. GDP, probably the single best measure of how the economy is doing, grew by 2.9 percent in 2015, which was Obama’s seventh year in office and was the best GDP growth number since before the crash of the late Bush years. GDP growth slowed to 1.6 percent in 2016, which may have been among the indicators that supported Trump’s campaign-year argument that everything was going to hell and only he could fix it. During the first year of Trump, GDP growth grew to 2.4 percent, which is decent but not great and anyway, a reasonable person would acknowledge that — to the degree that economic performance is to the credit or blame of the president — the performance in the first year of a new president is a mixture of the old and new policies. In Trump’s second year, 2018, the GDP grew 2.9 percent, equaling Obama’s best year, and so far in 2019, the growth rate has fallen to 2.1 percent, a mediocre number and a decline for which Trump presumably accepts no responsibility and blames either Nancy Pelosi, Ilhan Omar or, if he can swing it, Barack Obama. I suppose it’s natural for a president to want to take credit for everything good that happens on his (or someday her) watch, but not the blame for anything bad. Trump is more blatant about this than most. If we judge by his bad but remarkably steady approval ratings (today, according to the average maintained by 538.com, it’s 41.9 approval/ 53.7 disapproval) the pretty-good economy is not winning him new supporters, nor is his constant exaggeration of his accomplishments costing him many old ones). I already offered it above, but the full Washington Post workup of these numbers, and commentary/explanation by economics correspondent Heather Long, are here. On a related matter, if you care about what used to be called fiscal conservatism, which is the belief that federal debt and deficit matter, here’s a New York Times analysis, based on Congressional Budget Office data, suggesting that the annual budget deficit (that’s the amount the government borrows every year reflecting that amount by which federal spending exceeds revenues) which fell steadily during the Obama years, from a peak of$1.4 trillion at the beginning of the Obama administration, to $585 billion in 2016 (Obama’s last year in office), will be back up to$960 billion this fiscal year, and back over \$1 trillion in 2020. (Here’s the New York Times piece detailing those numbers.) Trump is currently floating various tax cuts for the rich and the poor that will presumably worsen those projections, if passed. As the Times piece reported: