3.8 Parallelograms: Rectangles, Rhombuses, Squares

Front

What is a parallelogram?

Back

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

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. The diagonals bisect each other.

Front

How can you determine if a quadrilateral is a parallelogram?

Back

A quadrilateral is a parallelogram if: 1. Both pairs of opposite sides are parallel. 2. Both pairs of opposite sides are congruent. 3. One pair of opposite sides is both parallel and congruent.

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 four equal sides.

Front

What does it mean for angles to be supplementary?

Back

Two angles are supplementary if the sum of their measures is 180 degrees.

Front

If a quadrilateral has 4 equal sides, can it be classified as a square?

Back

No, it can be a rhombus, but it is not necessarily a square unless it also has right angles.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other, meaning they cut each other in half.

Front

What is the formula for the area of a parallelogram?

Back

Area = base × height.