7.2 Parallelograms Practice

Front

What is a parallelogram?

Back

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

Tags

CCSS.3.G.A.1

Front

What are the properties of opposite sides in a parallelogram?

Back

In a parallelogram, opposite sides are congruent (equal in length).

Tags

CCSS.HSG.CO.C.11

Front

What are the properties of opposite angles in a parallelogram?

Back

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

Tags

CCSS.HSG.CO.C.11

Front

What is the relationship between consecutive angles in a parallelogram?

Back

Consecutive (same-side) interior angles in a parallelogram are supplementary, meaning they add up to 180 degrees.

Tags

CCSS.HSG.C.A.3

Front

What is the property of the diagonals in a parallelogram?

Back

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

Tags

CCSS.HSG.CO.C.11

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 (since they are supplementary).

Tags

CCSS.HSG.C.A.3

Front

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

Back

Set up an equation using the property that consecutive angles are supplementary, then solve for x.

Tags

CCSS.HSG.CO.C.11

Front

What is the formula for the area of a parallelogram?

Back

The area of a parallelogram is calculated using the formula: Area = base × height.

Tags

CCSS.6.G.A.1

Front

What is the significance of the base and height in a parallelogram?

Back

The base is any side of the parallelogram, and the height is the perpendicular distance from the base to the opposite side.

Front

If the lengths of the sides of a parallelogram are 10 cm and 13 cm, what can be said about the opposite sides?

Back

The opposite sides will also be 10 cm and 13 cm, respectively, due to the property of congruent opposite sides.