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

How do 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 equal. 3. One pair of opposite sides is both parallel and equal.

Front

What is the Parallelogram Opposite Sides Converse theorem?

Back

If both pairs of opposite sides of a quadrilateral are equal in length, then the quadrilateral is a parallelogram.

Front

What is the Parallelogram Opposite Angles Converse theorem?

Back

If both pairs of opposite angles of a quadrilateral are equal, then the quadrilateral is a parallelogram.

Front

What is the Parallelogram Diagonals Converse theorem?

Back

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

Front

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

Back

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

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.