Parallelograms

Which theorem can be used to prove the quadrilateral is a parallelogram?

• Parallelogram Opposite Sides Converse Theorem

• Parallelogram Opposite Angles Converse Theorem

• Opposite Sides Parallel and Congruent Theorem

• Parallelogram Diagonals Converse Theorem

Tags

CCSS.HSG.CO.C.11

Which theorem can be used to prove the quadrilateral is a parallelogram?

• Parallelogram Opposite Sides Converse Theorem

• Parallelogram Opposite Angles Converse Theorem

• Opposite Sides Parallel and Congruent Theorem

• Parallelogram Diagonals Converse Theorem

Tags

CCSS.HSG.CO.C.11

Which theorem can be used to prove the quadrilateral is a parallelogram?

• Parallelogram Opposite Sides Converse Theorem

• Parallelogram Opposite Angles Converse Theorem

• Opposite Sides Parallel and Congruent Theorem

• Parallelogram Diagonals Converse Theorem

Tags

CCSS.HSG.CO.C.11

Which theorem can be used to prove the quadrilateral is a parallelogram?

• Parallelogram Opposite Sides Converse Theorem

• Parallelogram Opposite Angles Converse Theorem

• Opposite Sides Parallel and Congruent Theorem

• Parallelogram Diagonals Converse Theorem

Tags

CCSS.HSG.CO.C.11

State which method we can use to show that the quadrilateral is a parallelogram.

• Both pairs of opposite angles are congruent.

• Both pairs of opposite sides are congruent.

• Both pairs of diagonals bisect each other.

• Both pairs of opposite sides are parallel.

Tags

CCSS.HSG.CO.C.11

State which method we can use to show that the quadrilateral is a parallelogram. 

• Both pairs of opposite angles are congruent.

• Both pairs of opposite sides are congruent.

• Both pairs of diagonals bisect each other.

• Both pairs of opposite sides are parallel. 

Tags

CCSS.HSG.CO.C.11

Is there enough information to determine that this quadrilateral is a parallelogram?

Tags

CCSS.HSG.CO.C.11

Which is not a method of proving quadrilaterals are parallelograms?

• Both pairs of opposite sides are congruent.

• Both pairs of opposite sides are parallel.

• Both pairs of opposite angles are congruent. 

• Consecutive angles are supplementary. 

Tags

CCSS.HSG.CO.C.11

Determine whether the figure is a parallelogram.  If so, state the reason.

• Yes, quadrilateral with 2 pairs of opposite sides ≅

• Yes, quad with any ∠ supplementary to both consecutive ∠s

• Yes, quad with 1 pair of opposite sides || and ≅

• not a parallelogram

Tags

CCSS.HSG.CO.C.11

Which of the following cannot be used to prove a shape is a parallelogram?

• Both pairs of opposite sides parallel

• Both pairs of opposite sides congruent

• One pair of opposite sides congruent

• Both pairs of opposite angles congruent

Tags

CCSS.HSG.CO.C.11