Prove Parallelograms

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. 

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

Is this enough information to prove this quadrilateral is a parallelogram?

• Yes, if two pairs of consecutive sides are congruent, then it is a parallelogram.

• No, there is not enough information.

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

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

Is the quadrilateral a parallelogram?

• Yes, opposite angles congruent

• No, not enough information.

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

Which statement about parallelograms is always true?

• The diagonals are congruent.

• The diagonals bisect each other.

• The diagonals are perpendicular.

• The diagonals bisect their respective angles.

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

• yes

• no

Solve for x. Each figure is a parallelogram.

• 0

• 8

• 2

• 1