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 congruent. 2. Opposite angles are congruent. 3. Consecutive angles are supplementary. 4. The diagonals bisect each other.

Front

How can you determine if a quadrilateral is a parallelogram?

Back

A quadrilateral is a parallelogram if: 1. Both pairs of opposite sides are parallel. 2. Both pairs of opposite sides are congruent. 3. One pair of opposite sides is both parallel and congruent.

Front

If a parallelogram has one angle measuring 70 degrees, what are the measures of the other angles?

Back

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

Front

What is the formula for the area of a parallelogram?

Back

Area = base × height.

Front

If the base of a parallelogram is 5 cm and the height is 3 cm, what is the area?

Back

Area = 5 cm × 3 cm = 15 cm².

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

If the lengths of the sides of a parallelogram are 8 cm and 6 cm, what can be said about the opposite sides?

Back

The opposite sides are also 8 cm and 6 cm, respectively.

Front

In a parallelogram, if one angle is 60 degrees, what are the measures of the other angles?

Back

The opposite angle is also 60 degrees, and the consecutive angles are each 120 degrees.

Front

What does it mean for angles to be supplementary in a parallelogram?

Back

Supplementary angles are two angles that add up to 180 degrees.