Proving Quadrilaterals Are Parallelograms

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? If yes, pick the statement that explains why.

• Opposite sides parallel

• Opposite sides equal

• Opposite sides parallel and equal

• Not enough info

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

• yes

• no

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.

• Yes

• No

Determine if quadrilateral RUTS is a parallelogram by proving that the slopes of the opposite sides are equal.

IF YES, also identify the slope of RS.

• Yes

• No

• m = 1/8

• m = 2/8

• m = 8

Determine if quadrilateral ABCD is a parallelogram. You may use either of the two methods from class to support your answer. A (-1, 5) B (2, 8) C (4, 4) D (1, 1) Submit image of work below.

Solve for x.

Enter only the numerical value below.