Parallelogram Proofs

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

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

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)

Open Ended

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