Look at the figure shown below: rq is a segment on which a perpendicular bisector ps is drawn. s is the midpoint of rq. which step should be used to prove that point p is equidistant from points r and q? using aas postulate, prove that triangles pqs and prs are congruent. using sas postulate, prove that triangles pqs and prs are congruent. using asa postulate, prove that triangles pqs and prs are similar triangles. using aaa postulate, prove that triangles pqs and prs are similar triangles.

Using SAS postulate, prove that triangles PQS and PRS are congruent.

Step-by-step explanation:

Look at the picture.

ΔPRS ≅ PQS (SAS → Side-Angle-Side)

|RS| =|QS|

m∠RSP = m∠QSP = 90°

SP is a common side

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq