TRIANGLE CONGRUENCE COMPLETE QUESTIONS AND CORRECT DETAILED ANSWERS (VERIFIED ANSWERS)

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TRIANGLE CONGRUENCE COMPLETE QUESTIONS
AND CORRECT DETAILED ANSWERS (VERIFIED
ANSWERS)
QUESTION: If VX = WZ = 40 cm and m∠ZVX = m∠XWZ = 22°, can

ΔVZX and ΔWXZ be proven congruent by SAS? Why or why not?


Ans: No, there is not enough information given



QUESTION: Two rigid transformations are used to map ΔABC to

ΔXYZ. The first is a translation of vertex A to vertex X. What is the

second transformation?


Ans: a reflection across the line containing AB



QUESTION: Which of these triangle pairs can be mapped to each

other using a single translation?


Ans: D



QUESTION: The proof that ΔACB ≅ ΔECD is shown.

Given: AE and DB bisect each other at C.Prove: ΔACB ≅ ΔECD

What is the missing statement in the proof?

Master01 | 2025/2026 | Latest update

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Ans: ∠ACB ≅ ∠ECD



QUESTION: Which rigid transformation would map ΔAQR to ΔAKP?


Ans: a rotation about point A



QUESTION: Which of these triangle pairs can be mapped to each

other using a single reflection?


Ans: A



QUESTION: In the diagram, KL ≅ NR and JL ≅ MR. What additional

information is needed to show ΔJKL ≅ ΔMNR by SAS?


Ans: ∠L ≅ ∠R



QUESTION: The proof that ΔEFG ≅ ΔJHG is shown.

Given: G is the midpoint of HF, EF ∥ HJ, and EF ≅ HJ.

Prove: ΔEFG ≅ ΔJHG

What is the missing statement in the proof?


Ans: ∠GFE ≅ ∠GHJ



Master01 | 2025/2026 | Latest update