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Worksheets

Parallel and Perpendicular Lines

Total questions: 100

Worksheet time: 4hrs 19mins

Name
Class
Date
1.
Which figure shows a set of parallel lines?
a)
Figure 1
b)
Figure 2
c)
Figure 3
d)
Figure 4
2.
Which figure shows a set of perpendicular lines?
a)
Figure 1
b)
Figure 2
c)
Figure 3
d)
Figure 4
3.
The yellow yard lines are an example of what type of line?
a)
perpendicular lines
b)
parallel lines
c)
intersecting lines
d)
number lines
4.
The black lines on this Railroad Crossing sign are an example of what type of lines?
a)
parallel lines
b)
perpendicular lines
c)
intersecting lines
d)
interurban lines
5.
The memorial for the Twin Towers in NYC is an example of what type of lines?
a)
parallel lines
b)
perpendicular lines
c)
intersecting lines
d)
interurban lines
6.
What types of lines does this parallelogram have?
a)
parallel lines
b)
perpendicular lines
c)
both parallel and perpendicular lines
d)
neither parallel nor perpendicular lines
7.
What types of lines does this triangle have?
a)
parallel lines
b)
perpendicular lines
c)
both parallel and perpendicular lines
d)
neither parallel nor perpendicular lines
8.
Choose the most precise answer: These streets are
a)
Parallel
b)
Perpendicular
c)
Intersecting
9.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
base
c)
nothing
d)
slope
10.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
measurements
d)
nothing
11.
What is the slope in the equation:  y=4x+3
a)
3
b)
4x
c)
4
d)
3x
12.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
13.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
14.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
15.
A line is parallel to   y = 2x - 7.
What is it's slope?
a)
-2
b)
1/2
c)
-1/2
d)
2
16.
a)

Parallel

b)

Perpendicular

c)

Intersecting

17.
a)

Parallel

b)

Perpendicular

c)

Intersecting

18.
a)

Parallel

b)

Perpendicular

c)

Intersecting

19.
Find the slope of the line.
a)
2/1
b)
1/2
c)
-1/2
d)
-2/1
20.
Find the slope of the line that goes through the points (-8,6) and (7,-3).
a)
1/3
b)
-1/3
c)
-3/5
d)
-5/3
21.
What direction is an undefined slope?
a)
horizontal
b)
vertical
22.
A line contains the points (4, 3) and (19, −2). Which equation represents this line?
a)
y = -x + 7
b)
y = -3x + 12
c)
y = - 1/3x + 13/3
d)
y = 1/3x + 5/3
23.
What is the equation of a line that is perpendicular to this line and goes through the given point?
y = 3x + 2      (3, -4)
a)
y = 3x - 2
b)
y = -1/3x - 5
c)
y = 3x - 4
d)
y = -1/3x - 3
24.
Write an equation 
m = 1/3 through (4, 4)
a)
y = -1/3x + 8/3
b)
y = 8/3x - 1/3
c)
y = 8/3x + 1/3
d)
y = 1/3x + 8/3
25.
What is the equation of the line?
a)
y=3x
b)
y=3
c)
x=3
d)
y=-3
26.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
27.
Name that shape. 
a)
square
b)
square
rhombus
c)
quadrilateral
parallelogram
rhombus
d)
quadrilateral
parallelogram
square
28.
.
.
.
What is the name of this ray?
a)
Ray AB
b)
Ray BA
c)
Ray ABC
d)
Ray AC
29.
What does the image show?
a)
acute angles
b)
right angles
c)
straight angles
d)
obtuse angles
30.
What does the image show? 
a)
right angle
b)
acute angle
c)
straight angle
d)
obtuse angle
31.

what is NOT true about this shape

a)

Has Parallel lines

b)

Has atleast 2 right angles

c)

Has 4 lines of symmetry

d)

Has atleast 2 obtuse angles

32.
What type of line does the picture represent?
a)
Parallel
b)
Intersecting
c)
Perpendicular 
33.
Which figure shows a set of parallel lines?
a)
Figure 1
b)
Figure 2
c)
Figure 3
d)
Figure 4
34.
Determine the slope and y-intercept from the following equation:   2y = 3x + 6
a)
m: 2/3   b:  (0,3) 
b)
m: 3/2   b:  (0,3) 
c)
m:  4  b:  (0,3/2)
d)
m: 1/5   b:  (0,5) 
35.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
36.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
37.
Which equation represents slope intercept form?
a)
y - 1 = 2(x + 3)
b)
5y=x+5
c)
y=2x+5
d)
4y+2x=8
38.
What is the slope of a line parallel to the line whose equation is:  -2x + y = - 7?
a)
-2
b)
1/2
c)
-1/2
d)
2
39.

Are the following equations parallel, perpendicular or neither?
 f(x)=23x+1  and m=32+1f\left(x\right)=\frac{2}{3}x+1\ \ and\ m=\frac{3}{2}+1  

a)

Parallel

b)

Perpendicular

c)

Neither

40.

Are the following slopes parallel, perpendicular or neither?
 m=23  and m=32m=\frac{-2}{3}\ \ and\ m=\frac{3}{2}  

a)

Parallel

b)

Perpendicular

c)

Neither

41.

Are the following equations parallel, perpendicular or neither?
 h(x)=47x+2  and j(x)=74x+2h\left(x\right)=\frac{-4}{7}x+2\ \ and\ j\left(x\right)=\frac{-7}{4}x+2  

a)

Parallel

b)

Perpendicular

c)

Neither

42.

Are the following slopes parallel, perpendicular or neither?
 m=5  and m=5m=-5\ \ and\ m=5  

a)

Parallel

b)

Perpendicular

c)

Neither

43.

Are the following slopes parallel, perpendicular or neither?
 f(x)=5x+3  and g(x)=15x+3f\left(x\right)=-5x+3\ \ and\ g\left(x\right)=\frac{1}{5}x+3  

a)

Parallel

b)

Perpendicular

c)

Neither

44.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
45.

Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?

a)

y = 5x - 2

b)

y = -2x + 7

c)

y = 5(x - 2)

d)

y = -1/5x - 2

46.

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

47.
What is the slope of a line parallel to the line whose equation is:  -2x + y = - 7?
a)
-2
b)
1/2
c)
-1/2
d)
2
48.

Which of the following equations represents the line passing through point A and PERPENDICULAR to the given line?

a)

-2x + 3y = 10

b)

2x + y = 6

c)

3x + 2y = -4

d)

-3x - 2y = 2

49.

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

a)

y = 3/2x - 6

b)

y = 2/3x + 3

c)

y = -2/3x - 2

d)

y = -2/3x + 2

50.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
51.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
52.
Are the lines parallel, perpendicular, or neither?
y = 3x – 7
y = 3x + 1
a)
Parallel
b)
Perpendicular 
c)
Neither
53.
y = 9 /2 x - 4 and 2x + 9y = 18
a)
Parallel
b)
Perpendicular
c)
Neither
54.
x=2
y=1
a)
Parallel
b)
Perpendicular
c)
Neither
55.
Find the slope of the line.
a)
2/1
b)
1/2
c)
-1/2
d)
-2/1
56.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
57.
What does it mean if two lines are perpendicular?
a)
The never intersect
b)
They intersect
c)
They intersect and form a right angle
d)
I don't know
58.
What type of slope?
a)
negative
b)
steep
c)
undefined
d)
zero slope
59.
Name a line parallel to AD
a)
EH
b)
AB
c)
DC
d)
HG
60.
Name a line perpendicular to AD
a)
EH
b)
AB
c)
CG
d)
HG
61.
Lines DE, AB, and GC appear to be _________
a)
parallel
b)
perpendicular
c)
skew
62.
What is the equation of this line in slope-intercept form?
a)
y = 2x + 5
b)
y = -2x + 5
c)
y = -2x
d)
y = 5
63.

If a pair of lines have slopes that are negative reciprocals (inverses) of each other, then the lines are

a)

Parallel

b)

Perpendicular

c)

Neither

64.

If a pair of lines are not parallel, then they must be perpendicular.

a)

TRUE

b)

FALSE

65.

Line w is perpendicular to line v. If the slope of line w is -2, what is the slope of line v ?

a)

 22  

b)

 12\frac{1}{2}  

c)

 2-2  

d)

 12-\frac{1}{2}  

66.
If two lines are parallel their slopes are  ____________
a)
the same.
b)
negative reciprocals of each other.
67.

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

a)

the same.

b)

negative reciprocals of each other.

68.

Are these lines parallel?

y = (-1/2)x + 1

y = (1/2)x - 5

a)

YES

b)

NO

69.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
70.

On a map, Center St. passes through coordinates (5, –3) and (3, 7). Merrie Rd. intersects Center St. and passes through coordinates (2, 6) and (–3, 5). Are these streets perpendicular? What are they?

a)

No, they aren't. They are 5 and 1/5

b)

Yes, they are. They are -5 and 1/5

c)

Yes, they are. They are -1/5 and 5

d)

No, they aren't. They are 1/5 and 5

71.

Name this image by its angles.

a)

acute

b)

obtuse

c)

right

d)

equiangular

72.

Name this triangle by its sides

a)

scalene

b)

isosceles

c)

equilateral

d)

acute

73.

If all of the angles are equal, what does each angle equal?

a)

180 degrees

b)

30 degrees

c)

60 degrees

d)

90 degrees

74.
a)
A
b)
B
c)
C
d)
D
75.
.
.
.
.
What is the name of this kind of triangle?
a)
Right
b)
Isosceles
c)
Scalene
d)
Equilateral
76.
.
.
.
What is the name of this kind of triangle?
a)
Right
b)
Scalene
c)
Isosceles
d)
Equilateral
77.
A triangle has angle measurements of 26°, 59°, and 95°. What kind of triangle is it?
a)
acute triangle
b)
right triangle
c)
obtuse triangle
d)
none of the above
78.
A triangle has angle measurements of 163°, 2°, and 15°. What kind of triangle is it?

a)
acute triangle
b)
right triangle
c)
obtuse triangle
d)
none of the above
79.
a)
yes
b)
no
80.
A triangle has two sides measuring 8 millimetres and one side measuring 7 millimetres. Is this triangle scalene?

a)
yes
b)
no
81.
a)
equilateral triangle
b)
isosceles triangle  
c)
scalene triangle
d)
none of the above
82.
When classifying a triangle by its angles, what type of triangle has one right angle? 
a)
acute triangle
b)
right triangle
c)
obtuse triangle
d)
none of the above
83.

Classify this triangle by its sides.

a)

equilateral

b)

scalene

c)

isosceles

84.
Classify this triangle by its sides and angles
a)
obtuse scalene
b)
right isosceles
c)
obtuse isosceles
d)
acute isosceles
85.
Classify this triangle by its sides and angles
a)
right isosceles
b)
acute scalene
c)
obtuse scalene
d)
acute isosceles
86.

A triangle has side lengths of 15 centimeters, 11 centimeters, and 9 centimeters. What kind of triangle is it?

a)

equilateral

b)

isosceles

c)

scalene

87.

If all of the triangle side are different lengths, the triangle is an isosceles triangle.

a)

True

b)

False

88.

Which of the following is NOT a term to classify triangles by their angles?

a)

acute

b)

equilateral

c)

obtuse

d)

right

89.

What are the three ways to classify triangles by their sides?

a)

equilateral, right, isosceles

b)

scalene, obtuse, right

c)

equilateral, isosceles, scalene

d)

acute, right, isosceles

90.

A triangle with all equal sides and one 90 degree angle is what kind of triangle?

a)

acute equilateral

b)

right equilateral

c)

right scalene

d)

acute isosceles

91.

A triangle can have three right angles.

a)

True

b)

False

92.

This is . . . (chose two)

a)

a scalene triangle

b)

an obtuse triangle

c)

a equilateral triangle

d)

an isosceles triangle

93.

This is . . . (select two)

a)

a right triangle

b)

an acute triangle

c)

an isosceles triangle

d)

a scalene triangle

94.

If we classify the triangles according to their angles and sides ,how many types(in total) of triangles are there?

a)

4

b)

5

c)

3

d)

6

95.
A triangle has angle measurements of 54°, 52°, and 74°. What kind of triangle is it?

a)
acute triangle
b)
right triangle
c)
obtuse triangle
d)
none of the above
96.
A triangle has angle measurements of 163°, 2°, and 15°. What kind of triangle is it?

a)
acute triangle
b)
right triangle
c)
obtuse triangle
d)
none of the above
97.
A triangle has angle measurements of 74°, 90°, and 16°. What kind of triangle is it?

a)
acute triangle
b)
right triangle
c)
obtuse triangle
d)
none of the above
98.
A triangle has side lengths of 19 centimetres, 19 centimetres, and 20 centimetres. Is this triangle equilateral?

a)
equilateral triangle
b)
isosceles triangle  
c)
scalene triangle
d)
none of the above
99.
In a triangle, how many total degrees are there?
a)
100%
b)
180 degrees
c)
it varies
d)
360 degrees
100.
.
.
.
.
What is the name of this kind of triangle?
a)
Right
b)
Scalene
c)
Isosceles
d)
Equilateral