Question

what is the reason for the third step in this proof?

a. corresponding sides of congruent triangles are equal in length.
b. the diagonals of a rectangle bisect each other.
c. sss criterion for congruence
d. opposite sides of a parallelogram are congruent

Explanation:

Step1: Analyze the properties of a parallelogram

In a parallelogram, opposite sides are congruent.

Step2: Relate to the given proof

Since PQRS is a parallelogram (from step 2), and \(\overline{QP}\) and \(\overline{RS}\), \(\overline{QR}\) and \(\overline{PS}\) are opposite sides of the parallelogram PQRS.

Answer:

D. Opposite sides of a parallelogram are congruent