Question

The following triangles are congruent under PRQ ↔ XYZ. Which part of Δ XYZ correspond to PQ?

- XY
- YZ
- XZ
- YX

Hint:

### When two triangles are congruent, we can know that all of their corresponding sides and angles are congruent too

## The correct answer is: XZ

As triangle PRQ is congruent to triangle XYZ,

PR ↔ XY, PQ ↔ XZ, RQ ↔ YZ, and

∠P ↔ ∠X, ∠R ↔ ∠Y, ∠Q ↔ ∠Z (Corresponding parts of congruent triangles)

Hence, Side XZ corresponds to side PQ.

PR ↔ XY, PQ ↔ XZ, RQ ↔ YZ, and

∠P ↔ ∠X, ∠R ↔ ∠Y, ∠Q ↔ ∠Z (Corresponding parts of congruent triangles)

Hence, Side XZ corresponds to side PQ.

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