Parallelograms

Front

What is a parallelogram?

Back

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

Tags

CCSS.3.G.A.1

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 sum of the interior angles of a parallelogram?

Back

The sum of the interior angles of a parallelogram is 360 degrees.

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 length of a side in a parallelogram using the properties of triangles?

Back

You can use the properties of triangles formed by drawing a diagonal; the triangles will be congruent.

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

If the lengths of two adjacent sides of a parallelogram are 5 cm and 12 cm, what is the perimeter?

Back

The perimeter is 2(5 cm + 12 cm) = 34 cm.

Tags

CCSS.3.MD.D.8

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.

Tags

CCSS.6.G.A.1

Front

If the base of a parallelogram is 10 cm and the height is 4 cm, what is the area?

Back

The area is 10 cm × 4 cm = 40 cm².

Tags

CCSS.6.G.A.1

Front

What is the relationship between adjacent angles in a parallelogram?

Back

Adjacent angles in a parallelogram are supplementary (they add up to 180 degrees).

Tags

CCSS.HSG.C.A.3