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1. Determine the postulate that proves why the triangles are congruent. Drag and drop the correct answers. Two options will not be used. Congruent by: HL ? SSS Congruent by: SAS ? ASA Congruent by: AAS ? 2. 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 3. Given ∆CAN ≅ ∆TRY. What parts do we know are congruent by CPCTC? CA≅TY ∡N≅∡Y *Check ALL that apply.* ∡A≅∡R AN≅RY 4. Given ∆ARM≅∆LEG. Which parts from among the options are congruent? ∡A≅∡L RA≅EL *Check ALL that apply.* ∡G≅∡R MR≅LE 2. ∡HEF≅∡HGD; ∡HFE≅∡HDG 2. 1. EF∕∕DG; EF≅GD 1. Given 3. ΔEHF ≅ ΔGHD 3. 4. HD≅HF 4. 5. Drag the correct justifications to match with the statements in the proof. Given: EF∕∕DG; EF ≅ GD Prove: HD ≅ HF D E Alternate Interior Angles ? Congruent by AAS ≅ ? Congruent by CPCTC ? H F G 6. 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 7. What could you use to prove ∡A ≅ ∡Z? HL ≅ and CPCTC definition of an acute angle Right Triangles AAA ≅ and CPCTC 8. 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 9. 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 10. 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 |