Rules for Parallelograms

What are the values of x, y, and z for this to be a parallelogram?

• x=145, y=145,z=145

• x=145, y=35, z=35

• x=35,y=145, z=35

• x=35, y=35, z=145

Is this quadrilateral a parallelogram?

• Yes. Diagonals bisect each other

• no

• Yes. Opposite angles are congruent

• Yes. Opposite sides are congruent

Is this quadrilateral a parallelogram? If so, give a reason.

• No

• Yes. Opposite sides are parallel

• Yes. Opposite sides are congruent

• Yes. Opposite angles are congruent

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

What is the value of x?

• 132

• 66

• 114

• 48

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

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

Which polygon is NOT a parallelogram?

• Figure 1

• Figure 2

• Figure 3

• Figure 4

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.

What are the values of x and y that would make this a parallelogram?

• x = 23, y = 10

• x = 10, y = 23