Question

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. .

Answer 1

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

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.

Answer 2

"If two sides and one included angle are equal in triangles PQS and PRS, then their third sides are equal" is the step that should be used to prove that point P is equidistant from points R and Q. The correct option among all the options that are given in the question is the second option or option "B".