PPT-Bell work: Identify all congruent triangles from the pictur

62 Properties of Parallelograms If Statements AKA Conditional Statements Recall Theorem 62 The sum of the measures of the exterior angles of any polygon is 360 If and Only If statements. (Use the . distance. formula!). QU 4. 2. + 4. 2. = d. 2. . 16 + 4 = d. 2. . 20 = d. 2. . d = .  . AD 8. 2. + 4. 2. = d. 2. . 64 + 16 = d. 2. . 80 = d. 2. . d = .  . NO, they aren’t congruent!. Objectives: To use detours in proofs and to apply the midpoint formula.. Procedure for Detour Proofs. . Determine which triangles must be congruent to reach the required conclusion. . Attempt to prove that these triangles are congruent. If you don’t have enough information to prove them congruent, take a DETOUR (follow steps 3 – 5). . NPO = 50. CED = 55. DE = 11. PO = 33. UV = 36. CED = 37. Perimeter = 40. DE = 18. LM = 22. Review of Right Triangles. Triangle . Congruences. ASA (Angle-Side-Angle) . Postulate. If two angles and the included side in one triangle . SECTION . 5.02. After completing this lesson, you will be able to say: . I . can. use composition and decomposition to determine the area of quadrilaterals. .. I . can. solve problems involving area of quadrilaterals using composition and decomposition.. 4.2. SSS Postulate (Just call it SSS). If . three sides of one triangle . are congruent to. three sides of another triangle, . then the triangles are congruent.. SAS Postulate (Just call it SAS). If . By Brit Caswell. A . parallelogram. is a quadrilateral where both sets of opposite sides are parallel.. If a quadrilateral is a parallelogram,. T. hen its opposite sides are congruent. (6.3). Then its consecutive angles are supplementary. (6.4). Tom Sallee. University of California, Davis. BE SURE TO ASK QUESTIONS . This talk is for you—not me.. Most basic geometric question . What does it mean to say that two geometric figures or objects are “the same”. Side-Angle-Side (SAS) Congruence Postulate. If two sides and the included angle are congruent to the corresponding sides and angles on another triangle, then the triangles are congruent. . EXAMPLE 1. What is a polygon?. Closed figure. At least 3 sides. Line segments are sides. Sides meet is call a vertex. More Polygon Terms. Diagonal – connects two non consecutive vertices. Concave – at least one diagonal outside polygon, dented in. Honors Geometry. CCHS. Which rule proves the triangles congruent?. . ASA. What rule proves the triangles congruent?. . SAS. What rule proves the triangles congruent?. Not enough information. (SSA labeling). Lewis Carroll/Charles Dodgson. Some . fun facts:. .. as a mathematician, Dodgson was, in the words of . . Peter Heath: "An inveterate publisher of trifles [who] was forever putting out pamphlets, papers, broadsheets, and books on mathematical topics [that] earned him no reputation beyond that of a crotchety, if sometimes amusing, controversialist, a compiler of puzzles and curiosities, and a busy yet ineffective reformer on elementary points of computation and instructional method. In the higher reaches of the subject he made no mark at all, and has left none since." . Chapter 4. This Slideshow was developed to accompany the textbook. Larson Geometry. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. Use counterexamples to prove that other side and angle combinations cannot be used to prove triangle congruence.. 4.3 Analyzing Triangle Congruence. Warm-Up:. Which pair of triangles could use the ASA to prove congruency?. Then write “Wednesday” and answer the following questions.. Describe the force that pulls an object down.. What are three ways to accelerate (change velocity)?. If I roll a ball down the road, why does it eventually stop?.