Question

is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.​

Answer 1

Below.

Explanation:

The definition of a parallelogram is a 4 sided figure with 2 pairs of oppsoite parallel sides.

One of the properties of a parallelogram is that opposite sides are congruent.

In this figure the opposite sides are both parallel and congruent, so it must be a parallelogram.

Answer 2

SOLUTION: Yes; one pair of opposite sides are parallel and congruent. From the figure, one pair of opposite sides has the same measure and are parallel. By the definition of congruence, these segments are congruent. By Theorem 6.12 this quadrilateral is a parallelogram.