Parallelogram Proofs

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 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

How can you prove a quadrilateral is a parallelogram using opposite sides?

Back

If both pairs of opposite sides are equal in length, then the quadrilateral is a parallelogram.

Tags

CCSS.HSG.C.A.3

Front

What is the definition of a quadrilateral?

Back

A quadrilateral is a polygon with four sides, four vertices, and four angles.

Tags

CCSS.2.G.A.1

Front

What does it mean for diagonals to bisect each other?

Back

It means that the diagonals of the quadrilateral intersect at a point that divides each diagonal into two equal segments.

Front

What is the opposite sides property of a parallelogram?

Back

In a parallelogram, both pairs of opposite sides are equal in length.

Tags

CCSS.HSG.CO.C.11

Front

What is the opposite angles property of a parallelogram?

Back

In a parallelogram, both pairs of opposite angles are equal in measure.

Tags

CCSS.HSG.C.A.3

Front

What is the reflexive property?

Back

The reflexive property states that any quantity is equal to itself, which is often used in proofs.

Front

How can you prove a quadrilateral is a parallelogram using angles?

Back

If one pair of opposite angles are equal, then the quadrilateral is a parallelogram.

Tags

CCSS.HSG.C.A.3

Front

What is the significance of the vertical angles theorem in parallelograms?

Back

The vertical angles theorem states that vertical angles are equal, which can help in proving properties of parallelograms.