Parallelogram Properties and Coordinate Proofs

Parallelogram Properties

Multiple Choice

In a parallelogram, opposite angles are ________.

• congruent
• supplementary
• consecutive
• parallel

Multiple Choice

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

Multiple Choice

• x = 30, y = 40
• x = 40, y = 30
• x = 40, y = 15
• x = 30, y = 30

Multiple Choice

The figure is a parallelogram.  
Solve for x.  

• 12
• 4
• 6
• 2

Multiple Choice

HIJK is a parallelogram
solve for Y

• 20
• 15
• 60
• 12

Multiple Choice

If ABCD is a parallelogram, what is the length of BD?

• 10

• 11

• 7

• 5

Fill in the Blanks

​ ​ Solve for x

Multiple Choice

• x = 9, y = 4

• x = 6, y = 4

• x = 6, y = 2

• x = 4, y = 2

Multiple Choice

Solve for x.

• 41

• 7

• 58

• 22

Multiple Choice

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

Multiple Choice

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

• Opposite sides equal
• Opposite sides parallel
• Diagonals bisect each other
• Not enough info

Multiple Choice

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

• yes, opposite sides are congruent

• yes, opposite sides are parallel

• no, not all pairs of opposite sides are congruent

• no, it is not a quadrilateral

Multiple Choice

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

• Opposite sides parallel

• Opposite sides equal

• Opposite sides parallel and equal

• Not enough info

Multiple Choice

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

• Opposite sides parallel
• Opposite sides equal
• Opposite sides parallel and equal
• Not enough info

Multiple Choice

• Find the slope of 2 sides.

• Find the slope of all 4 sides.

• Find the slope of the diagonals.

• Find the length of all 4 sides.

Multiple Choice

How would you prove that the diagonals of a parallelogram bisect each other?

• Slope

• Distance Formula

• Midpoint

• Guess

Multiple Choice

How would you prove the opposite sides of a parallelogram are parallel?

• Slope

• Distance Formula

• Midpoint

Multiple Choice

1

• Find the lengths of the diagonals.

• Find the slope of each diagonal.

• Find the midpoint of each diagonal.

• Find the midpoint of each side.

Multiple Choice

• Find the slope of all 4 sides.

• Find the midpoint of all 4 sides.

• Find the length of all 4 sides.

• Find the length of 2 sides.