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The figure shows three right triangles. Triangles PQS, QRS, and PRQ are similar. Theorem: If two triangles are similar, the corresponding sides are in proportion. Figure shows triangle PQR with right angle at Q. Segment PQ is 4 and segment QR is 9. Point S is on segment PR and angles QSP a Using the given theorem, which two statements help to prove that if segment PR is x, then x2 = 97? (1 point) Segment PR ⋅ segment PS = 16 Segment PR ⋅ segment SR = 36 Segment PR ⋅ segment PS = 36 Segment PR ⋅ segment SR = 81 Segment PR ⋅ segment PS = 16 Segment PR ⋅ segment SR = 81 Segment PR ⋅ segment PS = 81 Segment PR ⋅ segment SR = 16

Answer :

The two statements that help to prove that if segment PR is x, then x² = 97 are:

  • Segment PR • segment SR = 81
  • Segment PR • segment SR = 16

What is a segment?

A line segment is a piece or part of a line having two endpoints.

Here, the statements that help to prove that if segment PR is x, then x² = 97 are Segment PR • segment SR = 81 and that Segment PR • segment SR = 16.

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