Question

problem 24
given: parallelogram spqt,
\\( \overline { p k } \cong \overline { t l } \\)
prove: \\( \angle p s k \cong \angle t q l \\)

1. parallelogram spqt
2. given

2.

1. if a quadrilateral is a

parallelogram, then
both pairs of opposite
sides are congruent.

1. \\( \overline { p s } \parallel \overline { q t } \\)

3.

Explanation:

Step1: Insert statement for property of parallelogram

$\overline{PS}\cong\overline{QT}$

Step2: Insert reason for parallel sides

If a quadrilateral is a parallelogram, then both pairs of opposite sides are parallel.

Answer:

1. $\overline{PS}\cong\overline{QT}$; 3. If a quadrilateral is a parallelogram, then both pairs of opposite sides are parallel.