HW 7.2 Properties of 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 value of x in a parallelogram when given angles?

Back

Set up an equation using the property that opposite angles are equal or that consecutive angles are supplementary.

Front

If one angle of a parallelogram is 90 degrees, what can be said about the other angles?

Back

All angles in the parallelogram are 90 degrees, making it a rectangle.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other, meaning they cut each other in half.

Front

How can you determine if a quadrilateral is a parallelogram using coordinates?

Back

Check if both pairs of opposite sides are parallel by calculating the slopes of the sides.

Front

What is the formula for the area of a parallelogram?

Back

Area = base × height.

Front

If two sides of a parallelogram are equal and the angles between them are equal, what can be concluded?

Back

The parallelogram is a rhombus.

Front

What is the significance of the diagonals in a parallelogram?

Back

The diagonals can be used to find the lengths of the sides and angles, and they help in determining the area.

Front

How do you solve for unknown variables in a parallelogram?

Back

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