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1. Tell if the highlighted statement is true or false and why (if it's true). AT ≅ UC False True; ∆'s ≅ by SAS, and AT ≅ UC by CPCTC True; ∆'s ≅ by ASA, and AT ≅ UC by def. ≅ sides True; ∆'s ≅ by SAS, and AT ≅ UC by SSS T A E P U C 2. Tell if the highlighted statement is true or false and why (if it's true). ∡T ≅ ∡C True; ∆'s ≅ by SAS, and ∡T ≅ ∡C by CPCTC True; ∆'s ≅ by SSS, and AT ≅ UC by SAS False True; ∆'s ≅ by SAS, and ∡T ≅ ∡C by Third ∡ Thm. T A E P U C 3. Tell if (and why) the highlighted statement is true. ∆'s ≅ by SSS, thus true by CPCTC ∆'s ≅ by SSS, thus false ∡'s ≇ ∆'s ≅ by SAS , thus true by CPCTC ∆'s are not ≅, thus false ∡'s ≇ ∡A ≅ ∡B A C B D 4. Match the theorem that proves the ∆'s are ≅ Choose from: A. SSS B. SAS C. AAS D. ASA E. HL ∆'s ≅ use capital letters ∆'s ≅ ∆'s ≅ 5. What does CPCTC stand for? Cranberry Poprocks and Coconut Pie are Crunchy Congruent Parts of Corresponding Triangles are Congruent Congruent Parts of Congruent Triangles are Corresponding Corresponding Parts of Congruent Triangles are Congruent 6. In two triangles, ∡C≅∡T and CA≅TR. Assume that ∆CAN≅∆TRY. What other parts do we know are congruent by using CPCTC? ∡N≅∡Y CA≅TY *Check ALL that apply.* ∡A≅∡R AN≅RY 7. In two triangles, ∡R≅∡E and AM≅LG. Assume that ∆ARM≅∆LEG. What other parts do we know are congruent by using CPCTC? ∡A≅∡L RA≅EL *Check ALL that apply.* ∡G≅∡R MR≅LE 8. Drag the correct justifications to match with the statements in the proof below. Put the one that is NOT used by the words, "not used". 1. EF∕∕DG; EF≅GD 1. Given 2. ∡HEF≅∡HGD; ∡HFE≅∡HDG 2. 3. ΔEHF ≅ ΔGHD 3. 4. HD≅HF 4. Given: EF∕∕DG; EF ≅ GDProve: HD ≅ HF not used: AAS ≅ Theorem ? D E ASA ≅ Theorem ? CPCTC ? H AIA Theorem ? F G 9. Drag the correct justifications to match with the statements in the proof below. Put the one that is NOT used by the words, "not used". 2. EH≅GH; FH≅DH 2. 3. ΔEHF ≅ ΔGHD 3. 4. ∡HEF≅∡HGD 4. 1. H is the midpoint of EG & FD; EF≅GD 1. Given Given: H is the midpoint of EG & FD; EF ≅ GDProve: ∡HEF ≅ ∡HGD not used: AIA Theorem ? D E definition of a midpoint ? CPCTC ? SSS ≅ Theorem ? H F G 10. What could you use to prove ∡A ≅ ∡Z? CPCTC Third ∡'s theorem definition of an acute angle AAA ≅ Theorem |