Question

ΔXYZ was reflected to form ΔLMN. 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

A reflection is a transformation that doesn't change the figure sizes and figure angles. If a triangle XYZ was reflected to form triangle LMN, then these two triangles are congruent:

ΔXYZ≅ΔLMN (true option A).

Congruent triangles have congruent corresponding sides and congruent corresponding angles:

• ∠X≅∠L (m∠X=m∠L=38°) - true option C;
• ∠Y≅∠M (m∠Y=m∠M=86°) - true option B;
• ∠Z≅∠N (m∠Z=m∠N=56°);
• XY≅LM;
• YZ≅MN;
• XZ≅LN - true option F.

Answer: true options A, B, C, F

Answer 2

correct answers are:

A) ΔXYZ ≅ ΔLMN
B) ∠Y ≅ ∠M
C) ∠X ≅ ∠L
F) XZ ≅ LN