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4.1: Congruent Figures There’s There’s no no crying crying in in baseball! baseball. -Jimmy 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. 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 4.1: #3-12 all,16-27 all, 30-32 all, 34, 44 I just like to smile. Smiling’s my favorite! I just like to smile. Smiling’s my favorite! -Buddy