Which step should be used to prove that point p is equidistant from points r and q? . answer . a. in triangles prs and pqs, all three angles are equal. b. if two sides and one included angle are equal in triangles pqs and prs, then their third sides are equal. c. in triangles pqr and pqs, if one side and one angle are equal, then their corresponding sides and angles are also equal. d. if any one side and any one common angle are equal in triangles pqr and prs, then their corresponding sides are also equal.

The correct answer is B. If two sides and one included angle are equal  in triangles PQS & PRS then their third sides are equal.

Step-by-step explanation:

Given triangle PQR & we have to prove that P is equidistant from R & Q i.e PR=PQ.  In the given triangle S point lies on the base and the two triangles form within the triangle PQR.

The sides PR and PQ lies in different triangle PRS & PQS therefore by proving these triangles congruent then by CPCT these sides becomes equal.

Hence, If two sides and one included angle are equal  in triangles PQS & PRS then their third sides are equal.

this is false ^.^ lol

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.