6-2 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.

Tags

CCSS.3.G.A.1

Front

What are the properties of opposite sides in a parallelogram?

Back

The opposite sides of a parallelogram are congruent (equal in length).

Tags

CCSS.HSG.CO.C.11

Front

What are the properties of opposite angles in a parallelogram?

Back

The opposite angles of a parallelogram are congruent (equal in measure).

Tags

CCSS.HSG.CO.C.11

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Tags

CCSS.HSG.CO.C.11

Front

Are the diagonals of a parallelogram always congruent?

Back

No, the diagonals of a parallelogram are not always congruent; they are only congruent in special cases like rectangles and rhombuses.

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 adjacent angles are 110 degrees each.

Tags

CCSS.HSG.C.A.3

Front

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

Back

Use the property that adjacent angles in a parallelogram are supplementary (add up to 180 degrees).

Tags

CCSS.HSG.C.A.3

Front

What is the formula for the area of a parallelogram?

Back

Area = base × height.

Tags

CCSS.6.G.A.1

Front

If the base of a parallelogram is 5 cm and the height is 4 cm, what is the area?

Back

Area = 5 cm × 4 cm = 20 cm².

Tags

CCSS.6.G.A.1

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.