Parallelogram Characteristics

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.

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.

Front

If one angle of a parallelogram is 90 degrees, what type of parallelogram is it?

Back

It is a rectangle.

Front

What is a rhombus?

Back

A rhombus is a type of parallelogram where all four sides are of equal length.

Front

How do you find the measure of an angle in a parallelogram?

Back

To find the measure of an angle, use the property that opposite angles are equal and adjacent angles are supplementary (sum to 180 degrees).

Front

What is the relationship between the diagonals of a rhombus?

Back

The diagonals of a rhombus bisect each other at right angles.

Front

What is a square?

Back

A square is a special type of parallelogram that has all sides equal and all angles equal to 90 degrees.

Front

If two angles of a parallelogram are 62 degrees and 28 degrees, what are the measures of the other two angles?

Back

The other two angles are also 62 degrees and 28 degrees, since opposite angles are equal.

Front

What equation would help you solve for x in a rhombus if one angle is expressed as 2x - 5?

Back

2x - 5 + 17 = 90.