02 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

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

How do you find the value of 'x' in a parallelogram when given two angles?

Back

Set up the equation: Angle 1 + Angle 2 = 180 degrees (since they are consecutive angles). Solve for 'x'.

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 the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

If the lengths of the sides of a parallelogram are 8 cm and 6 cm, what can you say about the opposite sides?

Back

The opposite sides are also 8 cm and 6 cm respectively.

Front

How do you determine if a quadrilateral is a parallelogram?

Back

A quadrilateral is a parallelogram if either: 1. Both pairs of opposite sides are parallel, or 2. One pair of opposite sides is both equal and parallel.

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.