In parallelogram ABRK, $$\angle RAB\cong\angle ARK$$ because which two sides are parallel?

$$\overline{AB}$$ and $$\overline{RK}$$

$$\overline{BR}$$ and $$\overline{KA}$$

\overline{BR} B R and \overline{RK} R K

\overline{AB} A B and \overline{KA} K A

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

opposite sides are congruent property

opposite sides are supplementary

Fill in the Reason #3.

$$\parallel\longrightarrow$$ alternate interior angles are congruent

Alternate interior angles are congruent.

$$\parallel\longrightarrow$$ alternate interior angles are congruent

Determine the correct reason for statement #2.

all sides are congruent property

all sides are parallel property

Determine the correct reason for statement #4.

opposite sides of a parallelogram are congruent theorem

stuck together and sharing a side theorem

Determine the correct reason for statement #3.

Alternate Exterior Angles Theorem

Determine the correct reason for statement #6.

All sides are congruent postulate

Determine the correct reason for statement #5.

Angle Side Angle Triangle Congruence Theorem

Side Angle Side Triangle Congruence Theorem

Side Side Side Triangle Congruence Theorem

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

Parallelogram Proofs

Quiz

•

Mathematics

•

10th Grade

•

Practice Problem

•

Hard

•

CCSS

HSG.CO.C.11, HSG.SRT.B.5

Standards-aligned

Anthony Clark

Used 1+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Fill in the Reason.

Opposite sides of a parallelogram are congruent.

definition of parallelogram

Prove

CPCTC

Tags

CCSS.HSG.CO.C.11

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

$\overline{BR}$ and $\overline{RK}$

$\overline{AB}$

Tags

CCSS.HSG.CO.C.11

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Symmetric Property

CPCTC

Reflexive Property

SSS

Tags

CCSS.HSG.SRT.B.5

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

ASA

SAS

AAS

SSS

Tags

CCSS.HSG.SRT.B.5

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Fill in the Reason

Opposite sides of a parallelogram are congruent.

definition of parallelogram

Prove

CPCTC

Tags

CCSS.HSG.SRT.B.5

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

What is reason #4?

Same-side interior angles theorem

alternate interior angles theorem

consecutive angles theorem

supplementary angles

Tags

CCSS.HSG.CO.C.11

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Parallelogram Proofs

20 questions

Fill in the Reason.

Fill in the Reason

Fill in the Reason.

What is reason #4?

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

Fill in the Reason #3.

Fill in the Statement

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