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    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.
    A ΔPQR ≅ ΔSRQ by RHS Correct Answer Incorrect Answer
    B ΔPQR ≅ ΔSQR by SAS Correct Answer Incorrect Answer
    C ΔPQR ≅ ΔSQR by RHS Correct Answer Incorrect Answer
    D ΔPQR ≅ ΔSRQ by SAS Correct Answer Incorrect Answer

    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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