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3.5 warm-up 2 Which of the following equations is equivalent to y=4x-8 ? a.y=x-2 b. y=2x-4 c. 3y=12x-24 d. y/2=2x-16 4.1 Congruent Figures You will justify and apply polygon congruence relationships You will name and label corresponding parts of congruent polygons Happy Thanksgiving First, we need to look at some things. What makes two items congruent? All the corresponding sides are congruent. All the corresponding angles are congruent. Pardekooper Labeling an angle or a side in correct order is very important. Lets see if you can do it. Pardekooper LMCBJK. Complete the following statements. BK 1. LC_____ CM 2. KJ_____ ML 3. JB_____ B 4. L_____ C 5. K_____ J 6. M_____ KJB 7. CML_____ CLM 8. KBJ_____ 9. MLC_____ JBK MCL 10. JKB_____ Pardekooper Lets label the congruent parts L P N M Q R N R NL RP L P LM PQ M Q NM RQ NLM RPQ Pardekooper Now it’s you turn to label all the congruent parts for the triangles. S F A T B C A C AS CF S F ST FB T B TA BC AST CFB Pardekooper There is a theorem. If two angles of one triangle are congruent to two angles of another triangle, then the third angle is congruent Pardekooper Next comes a proof. {Remember Remember to label all of the given.} all parts must be congruent. Given: PQPS, QRSR, QS, S QPRSPR Prove: PQR PSR R X P Q Statement Reason 1. PQPS, QRSR 1. Given 2. PRPR 2. Reflexive 3. QS, 3. Given QPRSPR 4. QRPSRP 5. QRPSRP Pardekooper 4. If 2 ’s are , then 3rd is 5. All parts , figures are What do you need to prove the following triangles congruent? 3rd pair of ‘s 3rd pair of sides Pardekooper