Proofs for Parallelograms

Proving That a Quadrilateral Is a Parallelogram

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Open Ended

Read and answer the image prompt.

(review)

Multiple Choice

Which of the following is NOT a property of parallelograms?

• Consecutive angles are supplementary

• Opposite angles are congruent

• Opposite sides are congurent

• Consecutive sides are parallel

• Diagonals bisect each other

Fill in the Blanks

What is the value of x? Discuss with your classmates.

Open Ended

How could you set up an equation to solve for the side lengths?

Multiple Choice

For what value of x is the quadrilateral a parallelogram?

• 4

• 5

• 6

• 7

Fill in the Blanks

For what value of y is the quadrilateral a parallelogram? Type a number only.

Open Ended

How could you set up an equation to solve for the angles?

Multiple Select

For what values of x and y is the polygon a parallelogram? Select all that apply.

• y = 43

• y = 26

• x = 19

• x = 10

(review)

(read)

Open Ended

How could you set up equations to solve for the length of the diagonals?

Multiple Select

What are the lengths of LN and KM? Select all that apply.

• 14

• 32

• 48

• 16

(write)

Multiple Choice

Which quadrilateral(s) is a parallelogram?

• Left

• Right

• Both

• Neither

(read)

Fill in the Blanks

What is the maximum height that the vehicle lift can elevate the truck? Type a number only.

Open Ended

List at least 4 of the properties of parallelograms you have learned.