# Which triangle is similar to triangle EAD using the Pieces of Right Triangles Similarity Theorem?

a) rqs Step-by-step explanation: they are both right angles

B. Triangles are similar if two corresponding angles in each triangle are the same measure. Step-by-step explanation: If two pairs of corresponding angles are congruent, then that makes the triangles similar to each other, by the Angle-Angle Similarity Postulate. * This is definitely a genuine statement! I am joyous to assist you anytime.

ΔSRT and ΔTRP Step-by-step explanation: We are given that R is a point on hypotenuse SP such that the segment RT is perpendicular to PS, therefore, PR=RS as the perpendicular bisector divides the line segment in two equal halves. Now, In ΔSRT and ΔTRP, PR=SR( Since RT is perpendicular bisector, it divides PS in two equal halves) ∠PRT=∠SRT=90° (RT is perpendicular bisector of PS) RT=RT(Common) Therefore, by SAS rule of congruency, ΔSRT ≅ΔTRP Hence, Option D is correct.

I believe the correct answer from the choices listed above is the third option. The pair of triangles that are similar are the triangles PQR and PTS. They both are isosceles triangles with the same ratio of the corresponding lengths. Hope this answers the question. Have a nice day.

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The answer is triangle BEC Step-by-step explanation:

A Triangles are similar of one corresponding angle in each triangle is the same measure.

Triangle d is similar