6.2 Review: Properties of Parallelograms

Front

What is a parallelogram?

Back

A parallelogram is a four-sided figure (quadrilateral) where opposite sides are parallel and equal in length.

Front

What are the properties of the angles in a parallelogram?

Back

In a parallelogram, opposite angles are equal, and consecutive angles are supplementary (add up to 180 degrees).

Front

What does it mean when diagonals bisect each other in a parallelogram?

Back

It means that each diagonal divides the other into two equal parts at the point of intersection.

Front

If one angle of a parallelogram is 85 degrees, what are the measures of the other angles?

Back

The opposite angle is also 85 degrees, and the consecutive angles are 95 degrees each.

Front

In a parallelogram, what can be said about the lengths of the diagonals?

Back

The diagonals of a parallelogram are not necessarily equal, but they bisect each other.

Front

What is the relationship between the sides of a parallelogram?

Back

Opposite sides of a parallelogram are equal in length.

Front

If the diagonals of a parallelogram are perpendicular, what can be inferred about the parallelogram?

Back

If the diagonals are perpendicular, the parallelogram is a rhombus.

Front

How do you find the value of x in a parallelogram when given angles?

Back

Set up an equation using the properties of angles in a parallelogram and solve for x.

Front

What is the formula for 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.