Special Parallelograms

Front

What is a rhombus?

Back

A rhombus is a type of parallelogram where all four sides are of equal length.

Front

What are the properties of a rhombus?

Back

1. Opposite angles are equal. 2. Adjacent angles are supplementary. 3. Diagonals bisect each other at right angles. 4. Diagonals bisect the angles of the rhombus.

Front

Is a trapezoid a parallelogram?

Back

No, a trapezoid is never a parallelogram.

Front

What is the formula for the area of a parallelogram?

Back

Area = base × height.

Front

What is the relationship between the angles in a rhombus?

Back

The opposite angles are equal, and adjacent angles are supplementary.

Front

If the diagonals of a rhombus are 10 units and 24 units, what is the area?

Back

Area = (diagonal1 × diagonal2) / 2 = (10 × 24) / 2 = 120 square units.

Front

What is the measure of each angle in a rectangle?

Back

Each angle in a rectangle measures 90 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 adjacent angles are 110 degrees each.

Front

What is the definition of a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.

Front

How do you find the length of a side in a rectangle if the perimeter is 30 units and the length is 10 units?

Back

Perimeter = 2(length + width). So, 30 = 2(10 + width) => width = 5 units.