Parallelograms Flashcard

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 a parallelogram?

Back

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

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 95 degrees, what are the measures of the other angles?

Back

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

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other but are not necessarily equal in length.

Front

How do you find the length of a diagonal in a parallelogram?

Back

Use the formula: d = √(a² + b² - 2ab*cos(θ)), where a and b are the lengths of the sides and θ is the angle between them.

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.

Front

What is the relationship between adjacent angles in a parallelogram?

Back

Adjacent angles in a parallelogram are supplementary, meaning they add up to 180 degrees.

Front

If two angles of a parallelogram are 60 degrees and 120 degrees, what are the measures of the other two angles?

Back

The other two angles are also 60 degrees and 120 degrees.