Parallelograms

Front

What is a parallelogram?

Back

A parallelogram is a four-sided figure (quadrilateral) where opposite sides 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.

Front

What is the sum of the interior angles of a parallelogram?

Back

The sum of the interior angles of a parallelogram is 360°.

Front

What can be said about the opposite angles of a parallelogram?

Back

The opposite angles of a parallelogram are congruent.

Front

What can be said about the consecutive angles of a parallelogram?

Back

The consecutive angles of a parallelogram are supplementary (add up to 180°).

Front

If one angle of a parallelogram is 70°, what are the measures of the other angles?

Back

The opposite angle is also 70°, and the consecutive angles are 110° each.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

Which of the following is NOT a property of a parallelogram? Diagonals bisect each other, Diagonals are congruent, Both pairs of opposite sides are parallel, Both pairs of opposite angles are congruent.

Back

Diagonals are congruent.

Front

How do you determine if a quadrilateral is a parallelogram?

Back

A quadrilateral is a parallelogram if either pair of opposite sides is parallel, or if both pairs of opposite angles are equal.

Front

If the lengths of two opposite sides of a parallelogram are 8 cm and 8 cm, what can be said about the other two sides?

Back

The other two sides must also be 8 cm each, as opposite sides of a parallelogram are equal.