Parallelograms

Front

What is a parallelogram?

Back

A parallelogram is a four-sided figure (quadrilateral) with opposite sides that are parallel and equal in length.

Front

What are the properties of a parallelogram?

Back

1. Opposite sides are equal in length. 2. Opposite angles are equal. 3. The diagonals bisect each other. 4. Consecutive angles are supplementary.

Front

What is the measure of angle DAB in parallelogram ABCD if angle ABC is 115°?

Back

65°

Front

What is the measure of angle ABC in parallelogram ABCD if angle DAB is 65°?

Back

115°

Front

If the length of segment BD in parallelogram ABCD is 14.4, what is the significance of this segment?

Back

Segment BD is one of the diagonals of the parallelogram, which bisects the parallelogram into two congruent triangles.

Front

What theorem states that if both pairs of opposite sides of a quadrilateral are equal, then it is a parallelogram?

Back

Parallelogram Opposite Sides Theorem.

Front

What theorem states that if both pairs of opposite angles of a quadrilateral are equal, then it is a parallelogram?

Back

Parallelogram Opposite Angles Theorem.

Front

What theorem can be used to prove that a quadrilateral is a parallelogram if one pair of opposite sides is both parallel and equal?

Back

Opposite Sides Parallel and Congruent Theorem.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

If angle DAB is 65°, what is the measure of angle ABC in parallelogram ABCD?

Back

115°