6.2 Basic Properties of Parallelograms

Front

What are the properties of opposite sides in a parallelogram?

Back

The opposite sides of a parallelogram are congruent.

Front

What can be said about the opposite angles of a parallelogram?

Back

The opposite angles of a parallelogram are congruent.

Front

What is the measure of angle 1 if it is given as 132 degrees?

Back

Angle 1 measures 132 degrees.

Front

What happens to the diagonals in a parallelogram?

Back

In a parallelogram, the diagonals are bisected.

Front

If 𝐴𝐵 = 3𝑥 + 12 and 𝐵𝐶 = 9𝑥 − 24, what is the length of 𝐹𝐸 if 𝐹𝐸 ≅ 𝐸𝐷?

Back

The length of 𝐹𝐸 is 30.

Front

What is a parallelogram?

Back

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

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

How do you find the length of a diagonal in a parallelogram?

Back

Use the properties of triangles formed by the diagonals and the sides of the parallelogram.

Front

What is the relationship between adjacent angles in a parallelogram?

Back

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

Front

What is the formula for the area of a parallelogram?

Back

The area of a parallelogram is given by the formula: Area = base × height.