Parallelogram Properties

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 value of x in a parallelogram when given certain angle measures?

Back

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

Front

What does it mean for the diagonals of a parallelogram to be bisected?

Back

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

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 consecutive angles are 110 degrees each (since they are supplementary).

Front

What is the relationship between the sides of a parallelogram?

Back

Opposite sides are equal in length.

Front

How can you determine if a quadrilateral is a parallelogram?

Back

If one pair of opposite sides is both equal and parallel, then the quadrilateral is a parallelogram.

Front

What is the formula for the area of a parallelogram?

Back

Area = base × height.

Front

How do you solve for unknown variables in a parallelogram using algebra?

Back

Use the properties of parallelograms to set up equations based on the relationships between angles and sides.

Front

What is the significance of the diagonals in a parallelogram?

Back

The diagonals bisect each other, which can be used to find unknown lengths or angles.

Front

If the lengths of the sides of a parallelogram are 10 cm and 6 cm, what is the perimeter?

Back

Perimeter = 2 × (length + width) = 2 × (10 cm + 6 cm) = 32 cm.