Chapter 6.2, Problem 14PPS

a.

To determine

To determine the congruent pairs of segment.

Answer to Problem 14PPS

$\begin{array}{l}\overline{SP}\cong \overline{RQ}\\ \overline{SR}\cong \overline{PQ}\end{array}$

Explanation of Solution

Given information :

We know that the opposite sides of the parallelogram are congruent.

Hence,

$\begin{array}{l}\overline{SP}\cong \overline{RQ}\\ \overline{SR}\cong \overline{PQ}\end{array}$

b.

To determine

To determine the congruent pairs of angles.

Answer to Problem 14PPS

$\begin{array}{l}\angle S\cong \angle Q\\ \angle P\cong \angle R\end{array}$

Explanation of Solution

Given information :

We know that the opposite angles of the parallelogram are congruent.

Hence,

$\begin{array}{l}\angle S\cong \angle Q\\ \angle P\cong \angle R\end{array}$