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(4.1) Congruent Figures There’s no crying in baseball! -Jimmy Unit 4 Congruent Triangles ~ Standards 4.1 Objects in the plane can be transformed, and those transformations can be described and analyzed algebraically. Prove geometric theorems (Lines, Angles, Triangles, Parallelograms) Unit 4 Congruent Triangles ~ Lesson Target: To recognize congruent figures and their corresponding parts. Congruent Figures Congruent Polygons: Congruent polygons are polygons that have corresponding sides that are congruent and corresponding angles that are congruent. Ex. Of corresponding: C correspond s to R B corresponds to Q AX corresponds to PY B Q C R A P X Y AX PY XB YQ BC QR ACBX PRQY CA RP Congruent Figures To be congruent, figures must have the same: Shape Size You can slide, flip or turn them so that one fits exactly over the other Congruent Figures ABC QRS. Draw and List the congruent corresponding parts. Congruent Figures Given that the following pentagons are congruent, find the value of B. C A R W 132° B E 95° S P T D Congruent Figures 92° 40° Theorem 4-1: If two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent. C F Since A D and B E then C F Congruent Figures Decide whether the triangles are congruent. Justify! E 3 B 4 C 3 A 4 D Proving Triangles Congruent Given : PS PQ Prove : PQR PSR QR SR Q S QPR SPR Statements Reasons 1. PS PQ ; QR SR 1. 2. 2. Reflexive Property 3. Q S ;QPR SPR 3. 4. QRP SRP 4. 5. 5. Definition of polygons (4.1) Congruent Figures Homework: (4.1) Pgs. 200- 202; 3-12 all,16-27 all, 30-32 all, 34, 44 Due: Thurs.