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Worksheets

Parallelism

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

Which of the following are alternate interior angles?

a)

 4 and 5\angle4\ and\ \angle5  

b)

 3 and 5\angle3\ and\ \angle5  

c)

 1 and 2\angle1\ and\ \angle2  

d)

 3 and 6\angle3\ and\ \angle6  

2.

If ∠7=123°, then ∠1=_____.

a)

132°

b)

75°

c)

57°

d)

123°

3.

If two parallel lines are cut by a transversal, then __________.

a)

alternate interior angles are supplementary

b)

alternate exterior angles are congruent

c)

same side interior angles are congruent

d)

corresponding angles are supplementary

4.

If ∠1=119°, then ∠8=_____.

a)

61°

b)

81°

c)

119°

d)

161°

5.

Which of the following are corresponding angles?

a)

∠4 and ∠6, ∠3 and ∠5

b)

∠1 and ∠7, ∠2 and ∠8

c)

∠1 and ∠5, ∠2 and ∠6

d)

∠4 and ∠5, ∠3 and ∠6

6.

Which of the following statements is NOT true?

a)

∠1 and ∠5 are corresponding angles

b)

∠4 and ∠6 are alternate interior angles

c)

∠1 and ∠7 are alternate exterior angles

d)

∠4 and ∠8 are same side interior angles

7.

Which of the following guarantees that l1l2l_1\parallel l_2 ?

a)

 18\angle1\cong\angle8  

b)

 45\angle4\cong\angle5  

c)

 35\angle3\cong\angle5  

d)

 38\angle3\cong\angle8  

8.

The figure shows that  2\angle2  and  8\angle8  are _____.

a)

same side exterior angles

b)

alternate exterior angles 

c)

corresponding angles

d)

alternate interior angles

9.

If two parallel lines are cut by a transversal, then same side exterior angles are _____.

a)

congruent

b)

supplementary

c)

complementary

d)

equal

10.

Which of the following are same side interior angles?

a)

∠4 and ∠6, ∠3 and ∠5

b)

∠1 and ∠7, ∠2 and ∠8

c)

∠1 and ∠5, ∠2 and ∠6

d)

∠4 and ∠5, ∠3 and ∠6

11.

Which of the following are alternate interior angles?

a)

∠4 and ∠6, ∠3 and ∠5

b)

∠1 and ∠7, ∠2 and ∠8

c)

∠1 and ∠5, ∠2 and ∠6

d)

∠4 and ∠5, ∠3 and ∠6

12.

If two parallel lines are cut by a transversal, then corresponding angles are supplementary.

a)

True

b)

False

13.

 84\angle8\cong\angle4  

a)

True 

b)

False

14.

 2\angle2  and  7\angle7  are supplementary.

a)

True

b)

False

15.

If  7=137°\angle7=137\degree  , then  2=\angle2=_{ }  _____.

a)

 137°137\degree  

b)

 43°43\degree  

c)

 34°34\degree  

d)

 127°127\degree  

16.

Corresponding angles are two interior angles on the same side of the transversal.

a)

True

b)

False

17.

If  3=(2x+25)°\angle3=\left(2x+25\right)\degree  and  5=(x+75)°\angle5=\left(x+75\right)\degree  , find the value of x. 

a)

45

b)

50

c)

55

d)

60

18.

Which of the following angles are NOT supplementary?

a)

 4 and 5\angle4\ and\ \angle5  

b)

 1 and 5\angle1\ and\ \angle5  

c)

 3 and 6\angle3\ and\ \angle6  

d)

 2 and 7\angle2\ and\ \angle7  

19.

Which of the following angles are congruent?

a)


1 and 7\angle1\ and\ \angle7

b)

1 and 8\angle1\ and\ \angle8

c)

2 and 7\angle2\ and\ \angle7

d)

3 and 6\angle3\ and\ \angle6

20.

If  2=80°\angle2=80\degree  and  7=(x+40)°\angle7=\left(x+40\right)\degree  , find the value of x.

a)

50

b)

55

c)

60

d)

65