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1. Tell if the highlighted statement is false or if it's true and why. 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 ≅ ∡U True; ∆'s ≅ by SAS, and ∡T ≅ ∡U by CPCTC True; ∆'s ≅ by SSS, and AT ≅ UC by SAS False True; ∆'s ≅ by SAS, and ∡T ≅ ∡U 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 true by congruent angles ∆'s ≅ by SAS , thus true by CPCTC ∆'s are not ≅, thus the statement is false ∡A ≅ ∡B A C B D 4. Determine the postulate that proves why the triangles are congruent. Congruent by: HL ? SSS Congruent by: SAS ? ASA Congruent by: AAS ? 5. What does CPCTC stand for? Corresponding Parts of Corresponding Triangles are Congruent Congruent Parts of Congruent Triangles are Corresponding Congruent Parts of Corresponding Triangles are Congruent 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? CA≅TY ∡N≅∡Y *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. 2. ∡HEF≅∡HGD; ∡HFE≅∡HDG 2. 4. HD≅HF 4. 1. EF∕∕DG; EF≅GD 1. Given 3. ΔEHF ≅ ΔGHD 3. Given: EF∕∕DG; EF ≅ GD Prove: HD ≅ HF D E Alternate Interior Angles ? Congruent by AAS ≅ ? Congruent by CPCTC ? H F G 9. Drag the correct justifications to match with the statements in the proof. 1. H is the midpoint of EG & FD 1. Given EF≅GD 3. ΔEHF ≅ ΔGHD 3. 4. ∡HEF≅∡HGD 4. 2. EH≅GH; FH≅DH 2. Given: H is the midpoint of EG & FD; EF ≅ GD Prove: ∡HEF ≅ ∡HGD D E definition of midpoint ? Congruent by CPCTC ? Congruent by SSS ≅ ? H F G 10. What could you use to prove ∡A ≅ ∡Z? HL≅ and CPCTC Right Triangles definition of an acute angle AAA≅ and CPCTC |