Properties and Theorems of Parallelograms

Front

Definition of a Parallelogram: Quadrilaterals whose opposite sides are ______ and ______.

Back

Quadrilaterals whose opposite sides are parallel and congruent.

Tags

CCSS.HSG.CO.C.11

Front

Parallelogram Property 1

The opposite sides of a parallelogram are _____ and _____.

Back

The opposite sides of a parallelogram are parallel and congruent.

Tags

CCSS.HSG.CO.C.11

Front

Parallelogram Property 2

The opposite angles of a parallelogram are ______.

Back

The opposite angles of a parallelogram are congruent.

Tags

CCSS.HSG.CO.C.11

Front

Parallelogram Property 3

The consecutive angles of a parallelogram are ______.

Back

The consecutive angles of a parallelogram are supplementary.

Tags

CCSS.HSG.C.A.3

Front

Parallelogram Property 4

The diagonals of a parallelogram ______ each other.

Back

The diagonals of a parallelogram bisect each other.

Tags

CCSS.HSG.CO.C.11

Front

Parallelogram Theorem: Opposite sides ______

Back

If two pairs of opposite sides of a quadrilateral are parallel, then the quadrilateral is a Parallelogram.

Tags

CCSS.HSG.CO.C.11

Front

Parallelogram Theorem: Opposite sides ______

Back

If two pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a Parallelogram.

Tags

CCSS.HSG.CO.C.11

Front

Parallelogram Theorem: Pair of ______ and _____ sides

Back

If a pair of parallel opposite sides of a quadrilateral are congruent, then the quadrilateral is a Parallelogram.

Tags

CCSS.HSG.CO.C.11

Front

Parallelogram Theorem: Diagonals ______ each other

Back

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

Tags

CCSS.HSG.CO.C.11

Front

Properties of Rhombus

Diagonals ______ each ____.

Back

All four of the properties of a parallelogram AND…Diagonals bisect each vertex angle.

Tags

CCSS.HSG.CO.C.11