Special Parallelograms

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with two pairs of opposite sides that are parallel.

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

How can you determine if a quadrilateral is a parallelogram?

Back

A quadrilateral is a parallelogram if: 1. It has one pair of opposite sides that are both parallel and equal. 2. It has two pairs of opposite sides that are equal. 3. Its diagonals bisect each other.

Front

What is a rectangle?

Back

A rectangle is a parallelogram with four right angles.

Front

What is a rhombus?

Back

A rhombus is a parallelogram with all four sides of equal length.

Front

What is a square?

Back

A square is a parallelogram that is both a rectangle and a rhombus, meaning it has four right angles and all sides are equal.

Front

What is the relationship between the diagonals of a rhombus?

Back

The diagonals of a rhombus are perpendicular to each other and bisect each other.

Front

Are the diagonals of a rhombus congruent?

Back

No, the diagonals of a rhombus are not congruent; they are only perpendicular and bisect each other.

Front

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

Back

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

Front

If one angle of a parallelogram is 54 degrees, what are the measures of the other angles?

Back

The opposite angle is also 54 degrees, and the consecutive angles are 126 degrees each.