Question
The points P and S are on the same side of the line
segment QR, such that ∠PQR = 90°, ∠SRQ = 90°, and PQ = SR. Select the correct statement.Solution
The given conditions are: ∠PQR = 90°, ∠SRQ = 90° PQ = SR Points P and S are on the same side of line segment QR Triangles ∆PQR and ∆SRQ are right triangles with a common side QR.
Since: PQ = SR (given) ∠PQR = ∠SRQ = 90° QR = QR (common side) By SAS (Side-Angle-Side) congruence criterion,
∆PQR ≅ ∆SRQ.
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