Parallelograms

Front

What are the properties of consecutive angles in a parallelogram?

Back

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

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

If ABCD is a parallelogram, what can be said about the opposite sides?

Back

The opposite sides of a parallelogram are equal in length.

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

Back

The opposite angle is also 130 degrees, and the consecutive angles are 50 degrees each.

Front

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

Back

You can use the properties of triangles formed by the diagonals and the sides of the parallelogram.

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.

Front

If the base of a parallelogram is 10 cm and the height is 5 cm, what is the area?

Back

The area is 10 cm × 5 cm = 50 cm².

Front

What is the relationship between the angles of a parallelogram?

Back

Opposite angles are equal, and consecutive angles are supplementary.

Front

If the lengths of the sides of a parallelogram are 8 cm and 6 cm, what can be said about the perimeter?

Back

The perimeter of the parallelogram is 2(8 cm + 6 cm) = 28 cm.