Chapter 6: Parallelogram Properties

Is this a Parallelogram?

100

Based off what's given, is this a parallelogram? 

YES or NO, Explain why.

Question A1

Yes, because both pairs of opp. angles congruent.

200

Based off what's given, is this a parallelogram? 

YES or NO, Explain why.

Question A2

Yes, because there is ONE PAIR of opp. sides that are CONGRUENT and PARALLEL.

300

Based off what's given, is this a parallelogram? 

YES or NO, Explain why.

Question A3

No, because diagonals are NOT bisecting each other.

400

Based off what's given, is this a parallelogram? 

YES or NO, Explain why.

Question A4

No, because there is only one pair of opp. angles/sides congruent. Need either both pairs of opp. angles congruent or both pairs opp. sides congruent.

500

Based off what's given, is this a parallelogram? 

YES or NO, Explain why.

Question A5

No, need same opp. side pair to be both

Find the Missing Variable(s)

100

This is a parallelogram, solve for x and y.

Question B1

x = 3, y = 5

200

This is a parallelogram, solve for x.

Question B2

x = 30

300

This is a parallelogram, solve for x and y.

Question B3

x = 13, y = 82

400

This is a parallelogram, solve for x and y.

Question B4

x = 2, y = 8

500

This is a parallelogram, solve for x and y.

Question B5

x = 5, y = 12

Area & Perimeter

100

Find the Area and Perimeter of the given parallelogram

Question C1

Area = 72, Perimeter = 44

200

Find the Area and Perimeter of the given parallelogram

Question C2

Area = 61.19

Perimeter = 62

300

Find the Area and Perimeter of the given parallelogram

Question C3

Area = 60

Perimeter = 20 + 8root3

400

Find the Area and Perimeter of the given parallelogram

Question C4

Area = 105

Perimeter = 30 + 10root2

500

Find the Area and Perimeter of the given parallelogram

Question C5

Area = 89.60

Perimeter = 39.18

Coordinate Proofs

100

If a question asks you to determine whether the quadrilateral is a parallelogram, and to justify your answer using the SLOPE FORMULA.

What is it asking you to do?

Prove both opp. sides parallel by finding equal slopes for opp. lines of the quadrilateral.

200

If a question asks you to determine whether the quadrilateral is a parallelogram, and to justify your answer using the DISTANCE FORMULA.

What is it asking you to do?

Prove both opp. sides congruent by finding equal distances for opp. lines of the quadrilateral.

300

If a question asks you to determine whether the quadrilateral is a parallelogram, and to justify your answer using the MIDPOINT FORMULA.

What is it asking you to do?

Prove diagonals bisect each other by finding equal midpoints for the diagonals of the quadrilateral.

400

Determine if Quad ABCD is a parallelogram, justify your answer using the SLOPE FORMULA.

A(3,3) B(8,2) C(6, -1) D(1,0)

Yes, Quadrilateral ABCD is a parallelogram because both pairs of opposite sides are parallel.

500

Determine if Quad FGHJ is a parallelogram, justify your answer using the DISTANCE FORMULA.

F(-2,4) G(4,2) H(4,-2) J(-2,-1)

No, Quadrilateral FGHJ is not a parallelogram because both pairs of opposite sides are not the same distance, which means those opposite sides are not congruent.