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Parallelogram Coordinate Proofs

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Parallelogram Coordinate Proofs
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Slope

Distance Formula

Midpoint

Guess

Tags

CCSS.HSG.CO.C.11

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Slope

Distance Formula

Midpoint

Tags

CCSS.HSG.CO.C.11

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Analyze the graph. How can you prove this is a rhombus using slope?

Yes, because AC has a slope that is undefined and BD has a slope of 0

No, because AC has a slope of 0 and BD has a slope of 0

Yes, because AC has a slope of 0 and BD has a slope that is undefined

No, because AC and BD have undefined slopes

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Julia proved ABCD is a parallelogram. She notices that side AB has a slope of 8/3 and BC has a slope of 1/3. What can she classify ABCD as?

A rectangle

A square

A rhombus

Just a parallelogram

Tags

CCSS.HSG.CO.C.11

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is reason #3? Make sure you write-in the reasons on your proofs.

Definition of a parallelogram

Definition of a quadrilateral

opposite sides are congruent property

opposite sides are supplementary

Tags

CCSS.HSG.CO.C.11

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Fill in the Reason.

Opposite sides of a parallelogram are congruent.

definition of parallelogram

Prove

CPCTC

Tags

CCSS.HSG.CO.C.11

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Fill in the Reason

Opposite sides of a parallelogram are congruent.

definition of parallelogram

Prove

CPCTC

Tags

CCSS.HSG.C.A.3

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