Properties of Parallelograms

Front

What is a parallelogram?

Back

A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length.

Tags

CCSS.3.G.A.1

Front

What are the properties of opposite angles in a parallelogram?

Back

In a parallelogram, opposite angles are congruent (equal in measure).

Tags

CCSS.HSG.CO.C.11

Front

What is the relationship between consecutive angles in a parallelogram?

Back

Consecutive angles in a parallelogram are supplementary, meaning they add up to 180°.

Tags

CCSS.HSG.CO.C.11

Front

How can you determine if a quadrilateral is a parallelogram?

Back

A quadrilateral can be determined to be 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 congruent, 3) Both pairs of opposite angles are congruent, 4) The diagonals bisect each other.

Tags

CCSS.HSG.CO.C.11

Front

What does it mean for diagonals to bisect each other in a parallelogram?

Back

In a parallelogram, the diagonals intersect at a point that divides each diagonal into two equal segments.

Front

If one pair of opposite sides is both parallel and congruent, what can be concluded?

Back

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

Tags

CCSS.HSG.CO.C.11

Front

What is the sum of the interior angles of a parallelogram?

Back

The sum of the interior angles of a parallelogram is 360°.

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.

Tags

CCSS.6.G.A.1

Front

Can a rectangle be considered a parallelogram? Why?

Back

Yes, a rectangle is a type of parallelogram because it has opposite sides that are parallel and equal, and all angles are right angles.

Tags

CCSS.5.G.B.4

Front

Can a rhombus be considered a parallelogram? Why?

Back

Yes, a rhombus is a type of parallelogram because it has opposite sides that are parallel and all sides are equal in length.

Tags

CCSS.HSG.CO.C.11