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Parallel, Perpendicular, Transversal: Relationship, Proof, Equations

Total questions: 51

Worksheet time: 4hrs 15mins

Name
Class
Date
1.

What is the relationship of ∠1 and ∠5?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

Vertical Angles

2.

What is the relationship of ∠4 and ∠7?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

Linear Pair

3.

What is the relationship of ∠3 and ∠4?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

Linear Pair

4.

What is the relationship of ∠6 and ∠8?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

Linear Pair

5.

What is the relationship of ∠2 and ∠8?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

Vertical Angles

6.

What is the relationship of ∠3 and ∠7?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

Vertical Angles

7.

What statement can be made from the diagram using the Corresponding Angles Postulate?

a)

∠1 and ∠2 are supplementary

b)

m∠1 + m∠2 = 180°

c)

∠1 ≅ ∠2

d)

m∠1 + m∠2 = 90°

8.

What statement can be made from the diagram using the Alternate Interior Angles Theorem?

a)

∠1 and ∠2 are supplementary

b)

m∠1 + m∠2 = 180°

c)

∠1 ≅ ∠2

d)

m∠1 + m∠2 = 180°

9.

What statement can be made from the diagram using the Alternate Exterior Angles Theorem?

a)

∠1 and ∠2 are supplementary

b)

m∠1 + m∠2 = 180°

c)

∠1 ≅ ∠2

d)

m∠1 = m∠2

10.

If it is given that p ∥ q, what are ALL correct statements that can be made?

a)

∠1 ≅ ∠3 by the corresponding angles postulate

b)

∠2 and ∠3 are complementary by the linear pairs postulate

c)

m∠2 + m∠3 = 180° by the linear pairs postulate

d)

∠1 ≅ ∠2 by the alternate exterior angles theorem

11.

Solve for x.

a)

A

b)

B

c)

C

d)

D

12.

Solve for x.

a)

A

b)

B

c)

C

d)

D

13.

Solve for x.

a)

A

b)

B

c)

C

d)

D

14.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
15.
The angle relationship shown is - 
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
16.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
17.
State the angle relationship and find the measure of angle 1
a)
Alternate Interior
37
b)
Alternate Interior
143
c)
Corresponding
143
d)
Corresponding
37
18.

If two parallel lines are intersected by a transversal, then alternate interior angles are _____________

a)

congruent

b)

parallel

c)

complementary

d)

supplementary

19.
What word describes line Z?
a)
Transversal
b)
Parallel
c)
Corresponding
d)
Same side interior
20.

Which Theorem, Postulate or Definition is this?

If <1 and <2 are complementary, then m<1 + m<2 = 90

a)

Definition of Complementary Angles

b)

Def of right angle

c)

Postulate of Definitive Theorems

d)

Syllogism

21.

What is the missing reason?

a)

Definition of Complementary Angles

b)

Definition of Supplementary Angles

c)

da kine

d)

Linear Pairs are 180

22.

What is the missing reason?

a)

Definition of congruence

b)

Definition of substitution

c)

m is less than than A equals m is less than B

d)

Did we learn this?

23.

What is the reason?

a)

Definition of supplementary

b)

Definition of complementary

c)

Why ask why?

d)

If you are right, you get compliments

24.

Name the property of equality or congruence that justifies going from the first statement to the second statement.

a)

Reflexive Property of Equality

b)

Transitive Property of Equality

c)

Symmetric Property of Congruence

d)

Reflexive Property of Congruence

25.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Reflexive Property of Congruence
b)
Symmetric Property of Congruence
c)
Distributive Property
d)
Transitive Property of Congruence
26.

What is the slope parallel to the equation: y=4x+3

a)

-1/4

b)

4x

c)

4

d)

1/4

27.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

colinear

28.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

slippery

29.

y = 3x +2

y = 3x - 3


These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

30.

 y=23x+2y=\frac{2}{3}x+2   
 y=−32x  +2y=-\frac{3}{2}x\ \ +2  


These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

Skew

31.

A line is perpendicular to y = 2x - 7.

What is the slope of this line?

a)

-2

b)

12\frac{1}{2}

c)

−12-\frac{1}{2}

d)

2

32.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
33.

 
What is the slope of any line parallel to...

 y = −85x +1y\ =\ -\frac{8}{5}x\ +1  

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

34.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=1/6x +25/6

b)

y = 1/6x + 4

c)

y = -6x - 2

d)

y = -6x + 4

35.

Which of the following lines is NOT parallel to the graph of line 6x - 8y = 5?

a)

9x - 12y = 11

b)

3x = 7 + 4y

c)

-6x + 8y = 3

d)

16y = 13 + 6x

36.

Which of the following equations has a graph PARALLEL to the line y = 4x + 7 and has an x-intercept of -2?

a)

y = 4x - 2

b)

y = 4x + 8

c)

y = 7/2x + 7

d)

y = -1/4x + 1/2

37.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
38.
What are vertical angles?
a)
Angles that are adjacent to each other
b)
Angles that add up to 180°
c)
Angles that are opposite of each other when lines intersect
d)
Angles that add up to 90°
39.
Write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3
a)
y = (-3/5)x + 2
b)
y = (-3/5)x -2
c)
y = (3/5)x + 2
d)
y = (5/3) + 2
40.

If two lines are perpendicular to each other their slopes are ____________

a)

the same.

b)

negative reciprocals of each other.

c)

corresponding

d)

consecutive

41.
Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12
a)
y = (-1/3)x - 1
b)
y = (1/3)x - 2
c)
y = -3x + 12
d)
y = 3x - 1
42.
WHAT IS THE CORRECT EQUATION TO FIND THE VALUE OF X?
a)
X=12
b)
8X - 17 + 5X +19 = 180
c)
8X - 17 = 5X +19
d)
X= -12
43.

WHICH IS THE CORRECT EQUATION TO SOLVE FOR X?

a)

16X+180 = 90

b)

12X - 19 = 4X +1

c)

12X - 19 + 4X +1=90

d)

12X - 29 + 4X +1=180

44.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
45.

Select the statements below that are true

a)

Through any two points, there is exactly one line.

b)

If two points lie in a plane, then the line joining them lies in that plane

c)

If two planes intersect, then their intersection is a line

d)

If two lines intersect, then exactly one plane contains both lines

46.

Which of the following lines goes through the point (-3, 4) and is perpendicular to y = (3/2)x + 6?

a)

y = (3/2)x - 6

b)

y = (2/3)x + 3

c)

y = -(2/3)x - 2

d)

y = -(2/3)x + 2

47.
Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?
a)
y = 1/5x - 3
b)
y= 5x - 7
c)
y = 5x + 4
d)
y = -5x - 3
48.

What type of lines does the picture represent?

a)

Parallel

b)

Intersecting

c)

Perpendicular

d)

Corresponding

e)

Complementary, you're welcome

49.

What type of line does the picture represent?

a)

Parallel

b)

Intersecting

c)

Perpendicular

d)

T Type

50.

For what value of x are the lines parallel?

a)

13

b)

132

c)

29.8

d)

53

51.
Solve for x.
a)
30
b)
9
c)
8
d)
150

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