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.

Front

What are the properties of a parallelogram?

Back

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

Front

Which property is NOT true for parallelograms?

Back

Diagonals are congruent.

Front

If ABCD is a parallelogram, what can be said about angles A and C?

Back

Angles A and C are equal.

Front

If the length of one side of a parallelogram is 7 cm, what is the length of the opposite side?

Back

7 cm (opposite sides are equal in length).

Front

What is the sum of the interior angles of a parallelogram?

Back

360 degrees.

Front

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

Back

60 degrees, 120 degrees, 120 degrees.

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 relationship between the diagonals of a parallelogram?

Back

The diagonals bisect each other.

Front

If the sides of a parallelogram are 10 cm and 5 cm, what is the perimeter?

Back

30 cm (Perimeter = 2*(length + width)).