Properties of Parallelograms and Rectangles

Front

What is a parallelogram?

Back

A parallelogram is a four-sided figure (quadrilateral) with opposite sides that are parallel and equal in length.

Tags

CCSS.3.G.A.1

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.

Tags

CCSS.HSG.CO.C.11

Front

What is a rectangle?

Back

A rectangle is a parallelogram with four right angles (90 degrees).

Tags

CCSS.3.G.A.1

Front

What are the properties of a rectangle?

Back

1. Opposite sides are equal in length. 2. All angles are right angles. 3. The diagonals are equal in length.

Tags

CCSS.HSG.CO.C.11

Front

If one diagonal of a rectangle is 9 in, what is the measure of the other diagonal?

Back

9 in (In a rectangle, both diagonals are equal in length.)

Tags

CCSS.HSG.CO.C.11

Front

How do you find the length of a side in a parallelogram using the properties?

Back

Use the properties of parallel sides and angles to set up equations based on the given information.

Tags

CCSS.HSG.CO.C.11

Front

What is the formula for the area of a parallelogram?

Back

Area = base × height.

Tags

CCSS.6.G.A.1

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Front

If RV = x + 6 and US = 5x – 9, how do you find x?

Back

Set RV equal to US and solve for x: x + 6 = 5x - 9.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other but are not necessarily equal.

Tags

CCSS.HSG.CO.C.11