Tests for Parallelogram

Determine whether the quadrilateral is a parallelogram. Justify your answer.

• Yes, a pair of opposite sides are parallel and congruent.

• Yes, both pairs of opposite angles are congruent.

• Yes, both pairs of opposite sides are congruent.

• No, none of the tests for a parallelogram are fulfilled.

Find the value of x that would make the quadrilateral a parallelogram.

Find the value of x that would make the quadrilateral a parallelogram.

• Yes

• No

• Yes

• No

Determine if the figure is a parallelogram.

P(2, 5), Q(3, 3), R(-2, -3), S(-3, 1)

Use the midpoint formula to justify your answer.

• Yes

• No

• Yes

• No

Determine if the figure is a parallelogram.

P(-1, 0), Q(3, 0), R(2, -3), S(-3, -2)

Use the distance formula to justify your answer. 

• Yes

• No

Determine whether the quadrilateral is a parallelogram. Justify your answer.

• Yes, a pair of opposite sides are parallel and congruent.

• Yes, both pairs of opposite angles are congruent.

• Yes, both pairs of opposite sides are congruent.

• No, none of the tests for a parallelogram are fulfilled.

Find the value of y that would make the quadrilateral a parallelogram.