5-1 CW-Properties of 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. Diagonals bisect each other. 4. Consecutive angles are supplementary.

Front

If two angles of a parallelogram are 51 degrees and x degrees, what is the value of x?

Back

x = 129 degrees (since opposite angles are congruent).

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

If ABCD is a parallelogram and AB = 10, what is the length of CD?

Back

CD = 10 (opposite sides are equal in length).

Front

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

Back

The opposite angles of a parallelogram are congruent.

Front

If the measure of angle A in a parallelogram is 70 degrees, what is the measure of angle B?

Back

Angle B = 110 degrees (consecutive angles are supplementary).

Front

Which of the following is NOT a property of a parallelogram?

Back

Diagonals are congruent.

Front

If the diagonals of a parallelogram are equal, what type of parallelogram is it?

Back

It is a rectangle.

Front

In a parallelogram, if one angle measures 90 degrees, what can be said about the other angles?

Back

All angles are 90 degrees (it is a rectangle).