Proving a Quadrilateral Is a Parallelogram

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 the quadrilateral a parallelogram?

• Yes; one pair of opposite sides are parallel

• Yes; one pair of opposite sides are congruent

• Yes; opposite sides are parallel and congruent

• No; only one pair of sides are parallel

• No; only one pair of sides are congruent

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

Is the quadrilateral a parallelogram? If yes, pick the statement that explains why.

• Opposite sides parallel

• Opposite sides equal

• Opposite sides parallel and equal

• Not enough info

Tags

CCSS.HSG.CO.C.11

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

• yes

• no

Tags

CCSS.HSG.CO.C.11

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

• no, because only one pair of opposite sides are

Tags

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.CO.C.11

Is the quadrilateral a parallelogram?

• Yes, opposite angles congruent

• No, not enough information.

Tags

CCSS.HSG.CO.C.11

Which is NOT a property of a parallelogram?

• Diagonals bisect each other

• Diagonals are congruent

• Both pairs of opposite sides are parallel

• Both pairs of opposite angles are congruent

Tags

CCSS.HSG.CO.C.11