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100 points!!! Which triangle is similar to triangle PQR using the Pieces of Right Triangles Similarity Theorem?


Triangle SRP has measure of angle SRP equal to 90 degrees. Q is a point on the hypotenuse SP such that the segment QR is perpendicular to PS. T is a point outside the triangle on the left of S so that triangle QTS has the measure of angle QTS equal to 90 degrees.


Triangle RQS

Triangle TSQ

Triangle QST

Triangle SRQ

100 points Which triangle is similar to triangle PQR using the Pieces of Right Triangles Similarity TheoremTriangle SRP has measure of angle SRP equal to 90 deg class=

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semsee45

Answer:

Triangle RQS

Step-by-step explanation:

Pieces of Right Triangles Similarity Theorem

If the altitude is drawn from the right angle to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other.

Side PQ ≅ PR ≅ RQ

Side QR ≅ RS ≅ QS

Therefore:  ΔPQR ≅ ΔPRS ≅ ΔRQS

Note:  The right triangle STQ is also similar to the other right triangles.

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