Question

For congruent triangle ΔQRS and ΔXYZ, identify the congruent corresponding parts to SQ.

A) YZ;
B) XY;
C) XY;
D) ZX;

Answer 1

In congruent triangles ΔQRS and ΔXYZ, the side SQ in ΔQRS corresponds to side XY in ΔXYZ.

Step-by-step explanation:

When two triangles are congruent, it means that all the corresponding sides and angles are identical in measurement. In congruent triangles ΔQRS and ΔXYZ, the side SQ corresponds to a side in ΔXYZ with the same position relative to the vertices in its triangle. However, to identify the specific corresponding part without ambiguity, the order of the vertices matters. They are usually listed in the order of corresponding parts, which means if ΔQRS is congruent to ΔXYZ, then each letter corresponds to the other in order. That being the case, S corresponds to X, Q corresponds to Y, and R corresponds to Z. Therefore, the side SQ in ΔQRS would be congruent to XY in ΔXYZ, which makes option B) correct.