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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