Properties of Parallelograms

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 measure of an angle in a parallelogram if one angle is known?

Back

If one angle is known, the opposite angle is equal to it, and the consecutive angles are supplementary (sum to 180°).

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Front

If m∠U = 95°, what is m∠R in a parallelogram?

Back

m∠R = 180° - m∠U = 180° - 95° = 85°.

Front

In a parallelogram, if one angle measures 140°, what are the measures of the other angles?

Back

The opposite angle is also 140°, and the two consecutive angles are each 40° (180° - 140°).

Front

How do you solve for x in a parallelogram when given angle measures?

Back

Set up an equation based on the properties of angles in a parallelogram, such as using supplementary angles or equal angles.

Front

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

Back

The sum of the interior angles of a parallelogram is 360°.

Front

If the diagonals of a parallelogram intersect at point O, what can be said about the segments AO, OC, BO, and OD?

Back

AO = OC and BO = OD, as the diagonals bisect each other.

Front

What is the significance of the term 'bisected' in relation to the diagonals of a parallelogram?

Back

'Bisected' means that each diagonal divides the other into two equal parts.

Front

How can you determine if a quadrilateral is a parallelogram using its sides?

Back

If both pairs of opposite sides are equal in length, then the quadrilateral is a parallelogram.