5.4 Tests for Parallelograms

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 opposite sides in a parallelogram?

Back

In a parallelogram, both pairs of opposite sides are equal in length and parallel.

Front

What are the properties of opposite angles in a parallelogram?

Back

In a parallelogram, opposite angles are congruent (equal in measure).

Front

What is the relationship between consecutive angles in a parallelogram?

Back

Consecutive angles in a parallelogram are supplementary, meaning they add up to 180 degrees.

Front

What is the property of the diagonals in a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

Are the diagonals of a parallelogram congruent?

Back

No, the diagonals of a parallelogram are not necessarily congruent unless the parallelogram is a rectangle.

Front

If one angle of a parallelogram is 70 degrees, what are the measures of the other angles?

Back

The opposite angle is also 70 degrees, and the consecutive angles are each 110 degrees.

Front

What is the formula for finding the area of a parallelogram?

Back

Area = base × height.

Front

If the base of a parallelogram is 10 cm and the height is 5 cm, what is the area?

Back

Area = 10 cm × 5 cm = 50 cm².

Front

What can be concluded if two opposite sides of a quadrilateral are equal and parallel?

Back

The quadrilateral is a parallelogram.