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Published byEthelbert Rodgers Modified over 9 years ago
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Which of the following equations is equivalent to y=4x-8 ? a.y=x-2b. y=2x-4 c. 3y=12x-24 d. y / 2 =2x-16 3.5 warm-up 2
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Happy Thanksgiving 4.1 Congruent Figures You will justify and apply polygon congruence relationships You will name and label corresponding parts of congruent polygons
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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
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Labeling an angle or a side in correct order is very important. Lets see if you can do it.
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LMC BJK. Complete the following statements. 1.LC _____ 2.KJ _____ 3.JB _____ 4. L _____ 5. K _____ 6. M _____ 7. CML _____ 8. KBJ _____ 9. MLC _____ 10. JKB _____ BK CM ML B C J KJB CLM JBK MCL Pardekooper
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Lets label the congruent parts L NM P Q R N R L P M Q NL RP LM PQ NM RQ NLM RPQ
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AT S BC FNow it’s you turn to label all the congruent parts for the triangles. A C S F T B AS CF ST FB TA BC AST CFB
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There is a theorem. If two angles of one triangle are congruent to two angles of another triangle, then the third angle is congruent
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Next comes a proof. {Remember to label all of the given.} Given: PQ PS, QR SR, Q S, QPR SPR Prove: PQR PSR P Q R S StatementReason Remember all parts must be congruent. 1. Given 1. PQ PS, QR SR 2. Reflexive 2. PR PR X 3. Given 3. Q S, QPR SPR 4. If 2 ’s are , then 3rd is 4. QRP SRP 5. All parts , figures are 5. QRP SRP Pardekooper
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What do you need to prove the following triangles congruent? 3rd pair of ‘s 3rd pair of sides
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