Prove Its a Parallelogram

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

Quadrilateral ABCD has diagonals AC and BD. Which information is NOT sufficient to prove ABCD is a parallelogram?  SKETCH AND MARK-UP A DIAGRAM FOR EACH OF THE ANSWER CHOICES.

• AC and BD bisect each other.

There are two correct ways, stated in this question, that we can use to prove that a quadrilateral is a parallelogram. Pick the two most suitable answers.

• The opposite angles are equal.

• The diagonals are equal.

• The opposite sides are parallel

• All of its angles are equal.

Which of the following reasons could be used to prove a quadrilateral is a parallelogram?

• One pair of opposite sides is congruent and parallel

• The diagonals are congruent

• One pair of opposite angles are congruent

• One right angle

A quadrilateral must be a parallelogram if

• one pair of sides is parallel and one pair of angles is congruent

• one pair of sides is congruent and one pair of angles is congruent

• one pair of sides is both parallel and congruent

• the diagonals are congruent