Free Printable Parallelogram Proofs

1.

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

a)

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

b)

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

c)

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

d)

$\overline{AB}$ and $\overline{KA}$

2.

In parallelgram ABRK, $\overline{RA}\cong\overline{AR}$ for what reason?

a)

Symmetric Property

b)

CPCTC

c)

Reflexive Property

d)

SSS

3.

In parallelgram ABRK, $\Delta ARB\cong\Delta RAK$ for what reason?

a)

ASA

b)

SAS

c)

AAS

d)

SSS

4.

Fill in the Reason #3.

a)

Alternate interior angles are congruent.

b)

Vertical angles are congruent.

c)

Reflexive Property

d)

$\parallel\longrightarrow$ alternate interior angles are congruent

5.

Fill in the Statement#4.

a)

$\overline{AR}\cong\overline{RA}$

b)

$\overline{AR}\cong\overline{AR}$

c)

$\angle ABR\cong\angle RKA$

d)

$\overline{KA}\cong\overline{AK}$

6.

Fill in the Reason#4.

a)

Alternate interior angles are congruent.

b)

Vertical angles are congruent.

c)

Reflexive Property

d)

$\parallel\longrightarrow$ alternate interior angles are congruent

7.

Fill in the Statement#5.

a)

$\overline{AR}\cong\overline{RA}$

b)

$\Delta RBA\cong\Delta AKR$

c)

$\angle ABR\cong\angle RKA$

d)

$\Delta RAB\cong\Delta RKB$

8.

Fill in the Reason#6.

a)

Opposite sides of a parallelogram are congruent.

b)

definition of parallelogram

c)

Prove

d)

CPCTC

Parallelogram Proofs

Total questions: 8

Worksheet time: 8mins

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