Question

ΔXYZ was reflected to form ΔLMN.

Triangle X Y Z is reflected to from triangle L M N. Angle Z Y X is 86 degrees and angle Y X Z is 38 degrees. Angle L N M is 56 degrees and angle N M L is 86 degrees.

Which statements are true regarding the diagram? Check all that apply.

ΔXYZ ≅ ΔLMN
∠Y ≅ ∠M
∠X ≅ ∠L
∠Z ≅ ∠L
YZ ≅ ML
XZ ≅ LN

Answer 1

True: ΔXYZ ≅ ΔLMN; ∠Y ≅ ∠M; ∠X ≅ ∠L; XZ ≅ LN.

Reason: The reflection gives the correspondence X→L, Y→M, Z→N, so the triangles are congruent and corresponding angles/sides match. ∠Z corresponds to ∠N (not ∠L), and YZ corresponds to MN (not ML), so those two statements are false.