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Published byThomasina Boyd Modified over 6 years ago
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CPCTC uses congruent triangles to prove corresponding parts congruent.
SSS, SAS, ASA, AAS, and HL use corresponding parts to prove triangles congruent. CPCTC uses congruent triangles to prove corresponding parts congruent. Prove the triangles are congruent FIRST: use CPCTC LAST. Remember!
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Example 1 Given: YW bisects XZ, XY YZ. Prove: XYW ZYW ZW Z
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Reflexive Property of
Example 2 Prove: PQ PS Given: PR bisects QPS and QRS. PR bisects QPS PR bisects QRS Given Def. of bisector RP RP Reflexive Property of ∆PQR ∆PSR PQ PS ASA CPCTC Given QPR SPR QRP SRP Def. of bisector
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Example 3 Given: A(2, 3), B(5, -1), C(1, 0)
D(-4, -1), E(0, 2), F(-1, -2) Prove: A D Statements Reasons 1. A(2, 3), B(5, -1), C(1, 0) D(-4, -1), E(0, 2), F(-1, -2) 1. 2. AB = DE = BC = EF = AC = DF = 2. 3. 3. Definition of Congruence 4. 5.
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Your Turn! Workbook pg 171 #2
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4 – 5, 4 – 6, 4 – 7 Assignment from Textbook
pg254 #7, 13 Pg264 – 265 #6, 13 pg 270 – 271 #3, 8 (Honors also do #12) Use the template to fill in all problems except pg 270 #12 as flowchart proofs Honors: do pg270 #12 as a two-column proof on a separate piece of paper. Must write down the whole proof, not just the missing blanks, to get full credit.
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