Parallelograms Fast & Curious

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

Use the property that opposite angles are equal and consecutive angles are supplementary to set up equations and solve for x.

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.

Front

If one angle of a parallelogram is 72 degrees, what are the measures of the other angles?

Back

The opposite angle is also 72 degrees, and the consecutive angles are 108 degrees each (since they are supplementary).

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?

Back

A quadrilateral is a parallelogram if one of the following conditions is met: 1. Both pairs of opposite sides are parallel. 2. Both pairs of opposite sides are equal in length. 3. One pair of opposite sides is both parallel and equal in length.

Front

What is the formula for the area of a parallelogram?

Back

The area of a parallelogram is calculated using the formula: Area = base × height.

Front

How do you find the height of a parallelogram if the area and base are known?

Back

Rearrange the area formula: height = Area / base.

Front

What is the significance of the base in a parallelogram?

Back

The base is one of the sides of the parallelogram used to calculate the area, and it can be any side of the parallelogram.