unit 3 mod -Proving a Quadrilateral is a Parallelogram

Front

What is a parallelogram?

Back

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

Tags

CCSS.3.G.A.1

Front

What is the Parallelogram Opposite Sides Converse Theorem?

Back

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

Tags

CCSS.HSG.CO.C.11

Front

What is the Parallelogram Opposite Angles Converse Theorem?

Back

If both pairs of opposite angles of a quadrilateral are equal, then the quadrilateral is a parallelogram.

Tags

CCSS.HSG.CO.C.11

Front

What is the Opposite Sides Parallel and Congruent Theorem?

Back

If one pair of opposite sides of a quadrilateral is both parallel and equal in length, then the quadrilateral is a parallelogram.

Tags

CCSS.HSG.CO.C.11

Front

What is the Parallelogram Diagonals Converse Theorem?

Back

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

Tags

CCSS.HSG.CO.C.11

Front

If two pairs of consecutive sides of a quadrilateral are congruent, can it be proven to be a parallelogram?

Back

No, there is not enough information to prove it is a parallelogram.

Front

Find the value of x that makes the quadrilateral a parallelogram: 2x + 5 = 35.

Back

x = 15.

Tags

CCSS.HSG.CO.C.11

Front

Find the value of x that makes the quadrilateral a parallelogram: 3x - 1 = 11.

Back

x = 4.

Tags

CCSS.HSG.CO.C.11

Front

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

Back

The sum of the interior angles of a quadrilateral is 360 degrees.

Front

What is the relationship between the diagonals of a parallelogram?

Back

The diagonals of a parallelogram bisect each other.

Tags

CCSS.HSG.CO.C.11