Question

the diagram shows a parallelogram that is not a rhombus. if indirect reasoning is used to prove that the diagonals are not congruent, what assumption should be made?

△qps is not congruent to △sqr
m∠spt≠m∠qpt
pr = sq
pr and qs are perpendicular

Explanation:

Indirect reasoning (proof by contradiction) starts by assuming the opposite of what we want to prove. Here, we want to prove that the diagonals are not congruent. So, we assume the diagonals are congruent. In the parallelogram \(PQRS\), the diagonals are \(PR\) and \(SQ\).

Answer:

C. \(PR = SQ\)