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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 name and label corresponding parts of congruent polygons. You will justify and apply polygon congruence relationships.
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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 name and label corresponding parts of congruent polygons You will justify and apply polygon congruence relationships 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 LC_____ KJ_____ JB_____ L_____ K_____ M_____ CML_____ KBJ_____ MLC_____ JKB_____ CM ML B C J KJB CLM JBK MCL Pardekooper
Lets label the congruent parts P L R N M Q N R NL RP L P LMPQ M Q NMRQ NLM RPQ Pardekooper
Now it’s you turn to label all the congruent parts for the triangles. F S B C A T A C AS CF S F STFB T B TABC 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
Remember all parts must be congruent. Next comes a proof. {Remember to label all of the given.} Given: PQPS, QRSR, QS, QPRSPR S R X P Prove: PQR PSR Q Statement Reason 1. Given 1. PQPS, QRSR 2. Reflexive 2. PRPR 3. QS, QPRSPR 3. Given 4. If 2 ’s are , then 3rd is 4. QRPSRP 5. All parts , figures are 5. QRPSRP Pardekooper
What do you need to prove the following triangles congruent? 3rd pair of ‘s 3rd pair of sides Pardekooper