Properties of parallelograms

Front

What is a parallelogram?

Back

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

Tags

CCSS.3.G.A.1

Front

What are the properties of a parallelogram?

Back

1. Opposite sides are congruent. 2. Opposite angles are congruent. 3. Consecutive angles are supplementary. 4. The diagonals bisect each other.

Tags

CCSS.HSG.CO.C.11

Front

What does it mean for opposite sides to be congruent?

Back

It means that the lengths of the opposite sides of a parallelogram are equal.

Tags

CCSS.HSG.CO.C.11

Front

What does it mean for opposite angles to be congruent?

Back

It means that the measures of the opposite angles in a parallelogram are equal.

Tags

CCSS.HSG.CO.C.11

Front

How do you find the measure of an angle in a parallelogram?

Back

You can use the property that consecutive angles are supplementary (they add up to 180°).

Tags

CCSS.HSG.C.A.3

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.

Tags

CCSS.HSG.CO.C.11

Front

What is a rectangle?

Back

A rectangle is a type of parallelogram where all angles are right angles (90°).

Tags

CCSS.5.G.B.4

Front

What is a rhombus?

Back

A rhombus is a type of parallelogram where all sides are of equal length.

Tags

CCSS.3.G.A.1

Front

What is the difference between a square and a rectangle?

Back

A square is a rectangle with all sides equal in length, while a rectangle has opposite sides equal.

Tags

CCSS.5.G.B.4

Front

If one angle of a parallelogram is 95°, what are the measures of the other angles?

Back

The opposite angle is also 95°, and the two consecutive angles are each 85°.

Tags

CCSS.HSG.C.A.3