Properties of 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. Diagonals bisect each other.

Front

In a parallelogram, consecutive angles are __________.

Back

supplementary

Front

Which property states that opposite sides are equal in length?

Back

Opposite SIDES are congruent.

Front

Which property states that opposite angles are equal in measure?

Back

Opposite ANGLES are congruent.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals bisect each other.

Front

Are the diagonals of a parallelogram always congruent?

Back

No, the diagonals of a parallelogram are not necessarily congruent.

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

Solve for x and y: 3x + 2y = 16; 7x + y = 19

Back

(2, 5)

Front

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

Back

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