Applying Properties of Special Parallelograms

Use the properties of a parallelogram to solve for x.

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

• Opposite sides parallel

• Opposite sides equal

• 1 pair of opposite sides parallel and equal

• Not enough info

Find the value of t.

DE=t+15, GF=2t

• 13

• 14

• 16

• 15

Find y.

• 4

• 27

• 64

Prove that if a quadrilateral is a parallelogram, then the opposite sides are congruent.

• parallel

• Alternate Interior Angles Theorem.

• Reflexive Property.

• ASA≅

• Corresponding Parts of Congruent Triangles are Con

Using the properties of the special parallelogram, solve for x and y.

• x = 2, y = 1

• x = 2, y = 0

• x = 1, y = 1

• x = 1, y = 0

What is the value of x?

• 132

• 66

• 114

• 48

What is the conclusion?

• ∠1 ≅ ∠4.

• ∠2 ≅ ∠3.

• ∠1 ≅ ∠4 AND ∠2 ≅ ∠3.

• Segment AB is congruent to Segment CD.

Is the quadrilateral a parallelogram? If yes, state how you know.

• Opposite sides equal

• Opposite sides parallel

• Diagonals bisect each other

• Not enough info

Find the measurement indicated in each parallelogram.

• A

• B

• C

• D