Properties of Special Parallelograms

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length, and opposite angles that are congruent.

Front

What are the properties of a rhombus?

Back

1. All sides are equal in length. 2. Diagonals bisect each other at right angles. 3. Diagonals create angle bisectors of each angle.

Front

Which property is NOT true for a rhombus?

Back

Diagonals are congruent.

Front

What is the relationship between squares and rhombuses?

Back

A square is a special type of rhombus where all angles are right angles.

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 ABCD is a rectangle, what can be said about its angles?

Back

All angles in a rectangle are right angles (90 degrees).

Front

In a rectangle, what is true about the diagonals?

Back

The diagonals of a rectangle are equal in length and bisect each other.

Front

If m∠BCA = 58 in rectangle ABCD, what is m∠BAC?

Back

m∠BAC = 32 degrees.

Front

If m∠BCE = 4x - 23 and m∠DCE = 5 + 5x in rectangle ABCD, find m∠BCE when x = 7.

Back

m∠BCE = 25 degrees.

Front

What is the definition of a rectangle?

Back

A rectangle is a parallelogram with four right angles.