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.

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. 4. Consecutive angles are supplementary.

Front

How do you find the area of a parallelogram?

Back

Area = base × height.

Front

What is the relationship between the angles in a parallelogram?

Back

Opposite angles are equal, and consecutive angles are supplementary (add up to 180 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 other two angles are 110 degrees each.

Front

What is a rectangle?

Back

A rectangle is a parallelogram with four right angles.

Front

What is a rhombus?

Back

A rhombus is a parallelogram with all four sides of equal length.

Front

What is the difference between a rectangle and a rhombus?

Back

A rectangle has right angles, while a rhombus has equal side lengths but not necessarily right angles.

Front

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

Back

The diagonals can be found using the formula: d1^2 + d2^2 = 2(a^2 + b^2), where a and b are the lengths of the sides.

Front

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

Back

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