Quadrilateral Properties

The Parallelogram Opposite Side Theorem states that if a quadrilateral is a parallelogram, then its opposite sides are

• Congruent

• Supplementary

• Complementary

• vertical

Tags

CCSS.HSG.CO.C.11

The Parallelogram Opposite Angles Theorem states that if a quadrilateral is a parallelogram, then its opposite angles are

• Supplementary

• Complementary

• Congruent

• Vertical

Tags

CCSS.HSG.C.A.3

Why is a parallelogram a quadrilateral, but a quadrilateral is sometimes a parallelogram?

Answer explanation

A quadrilateral does not always have opposite sides that are parallel; however, a parallelogram does.

Tags

CCSS.5.G.B.4

You are given one angle measure of a parallelogram. Explain how you can find the other angle measures of the parallelogram.

Tags

CCSS.HSG.CO.C.11

The Parallelogram Consecutive Angles Theorem states that if a quadrilateral is a parallelogram, then its consecutive angles are

• Congruent

• Supplementary

• Complementary

• Vertical

Tags

CCSS.HSG.C.A.3

The Parallelogram Diagonals Theorem states that if a quadrilateral is a parallelogram, then it's diagonals

• are congruent

• do not create an intersection

• are supplementary

• bisect each other

Tags

CCSS.HSG.CO.C.11

In the diagram, QM is congruent to

• PM

• MR

• SM

• MP

Tags

CCSS.HSG.CO.C.11

In the diagram, m<Q is equal to

• m<S

• m<P

• m<R

• <P

Tags

CCSS.HSG.CO.C.11

Answer explanation

By the Parallelogram Consecutive Angles Theorem, consecutive angles are supplementary, meaning they add to equal 180 degrees.

Tags

CCSS.HSG.CO.C.11

In the diagram, QR is congruent to

• QP

• PS

• RS

• PQ

Tags

CCSS.HSG.CO.C.11