Parallelogram

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 a parallelogram?

Back

1. Opposite sides are equal in length. 2. Opposite angles are equal. 3. The diagonals bisect each other.

Tags

CCSS.HSG.CO.C.11

Front

If the opposite angles of a parallelogram are 70 degrees, what are the measures of the other two angles?

Back

The other two angles are 110 degrees each.

Tags

CCSS.HSG.C.A.3

Front

How do you find the area of a parallelogram?

Back

Area = base × height.

Tags

CCSS.6.G.A.1

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 one angle of a parallelogram is 60 degrees, what are the measures of the other angles?

Back

The other angles are 120 degrees, 60 degrees, and 120 degrees.

Tags

CCSS.HSG.C.A.3

Front

Solve for x: In a parallelogram, if one angle is (2x + 10) degrees and the adjacent angle is (3x - 20) degrees, what is x?

Back

x = 10.

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

Back

Perimeter = 2 × (5 cm + 12 cm) = 34 cm.

Tags

CCSS.3.MD.D.8

Front

What is the formula for the length of the diagonals of a parallelogram?

Back

The lengths of the diagonals can be found using the formula: d1 = √(a² + b² - 2ab cos(θ)) and d2 = √(a² + b² + 2ab cos(θ)), where a and b are the lengths of the sides and θ is the angle between them.