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Identifying Parallel/Perpendicular Slopes & Points/Lines/Planes

Total questions: 81

Worksheet time: 2hrs 2mins

Name
Class
Date
1.

Identify the x-intercept of the graph.

a)

(-4, 0)

b)

(0, -2)

c)

(0, -4)

d)

(-2, 0

2.

Identify the y-intercept of the graph.

a)

(0, 3)

b)

(-1, 0)

c)

(0, -1)

d)

(3, 0)

3.

Identify the graph with a x-intercept of 3 and a y-intercept of - 1

a)
b)
c)
d)
4.

Identify the graph with a x-intercept of -2 and y-intercept of 2

a)
b)
c)
d)
5.
Given the list of ordered pairs, what is the x-intercept?
(8,10),  (3, -4),  (0, 8), (4, -3), (9, 0)
a)
(8,10)
b)
8, 3, 0, 4, 9
c)
(0,8)
d)
(9,0)
6.
What is the x-intercept?
a)
12
b)
-3
c)
8
d)
0
7.

What is the y-intercept?

a)

12

b)

-3

c)

8

d)

0

8.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
9.
In the picture, what does the coordinate (0, -2), where the parabola crosses over the y-axis, represent?
a)
the x-intercept
b)
the minimum
c)
the axis of symmetry
d)
the y-intercept
10.

Identify the y-intercept.

a)

(0,3)

b)

(3,0)

c)

(1,0)

d)

(2,-1)

11.

Use the graph to determine the X-intercepts

a)

(-1,0) and (-3,0)

b)

(1,0) and (3,0)

c)

(0,1) and (0,3)

d)

(0,-1) and (0,-3)

12.

Slope is know as

rise/______

a)

run

b)

fall

c)

none

d)

rise

13.

What type of slope is shown by the stairs in the image?

a)

positive

b)

negative

c)

undefined

d)

zero

14.

What type of slope is shown in the image?

a)

Positive

b)

Negative

c)

Undefined

d)

Zero

15.

What type of slope is Mario running in the picture?

a)

Positive

b)

Negative

c)

Undefined

d)

Zero

16.

What is the formula for finding slope?

a)

y=mx+by=mx+b

b)

Ax+By=CAx+By=C

c)

y2y1x2x1\frac{y_2-y_1}{x_2-x_1}

17.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
18.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
19.
Which figure shows a set of parallel lines?
a)
Figure 1
b)
Figure 2
c)
Figure 3
d)
Figure 4
20.
Which figure shows a set of perpendicular lines?
a)
Figure 1
b)
Figure 2
c)
Figure 3
d)
Figure 4
21.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
22.
What is the slope in the equation:  y=4x+3
a)
3
b)
4x
c)
4
d)
3x
23.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
24.
What slope is parallel to:  
m = 4
a)
4
b)
-1/4
c)
-4
d)
1/4
25.
A line is parallel to   y = 2x - 7.
What is it's slope?
a)
-2
b)
1/2
c)
-1/2
d)
2
26.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
27.
What slope is perpendicular to:  
m = 3
a)
-3
b)
-1/3
c)
1/3
d)
3
28.
A line is perpendicular to    y = 2x - 7.
What is the slope of this line? 
a)
-2
b)
1/2
c)
-1/2
d)
2
29.
y = 6x + 2
y = -6x + 2
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
30.

y=25x+2y=\frac{2}{5}x+2  

y=52x3y=\frac{5}{2}x-3  
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

31.

Which of the following lines is PARALLEL to the graph of y=6x3y=6x-3  ?

a)

y=6x+5y=-6x+5  

b)

y=16x3y=-\frac{1}{6}x-3  

c)

y=6x+1y=6x+1  

d)

y=16x3y=\frac{1}{6}x-3  

32.

m=58m=\frac{5}{8}  What slope is perpendicular to: 

a)

58-\frac{5}{8}  

b)

58\frac{5}{8}  

c)

85-\frac{8}{5}  

d)

85\frac{8}{5}  

33.

y=23x+2y=-\frac{2}{3}x+2  

y=32x+9y=\frac{3}{2}x+9  

These lines are...


a)

Parallel

b)

Perpendicular

c)

Neither

34.

What does 'b" represent in y=mx+b

a)

y-intercept

b)

beans

c)

nothing

d)

slope

35.

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

36.

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

a)

y=4x2y=4x-2

b)

y=4x+8y=4x+8

c)

y=14x2y=\frac{1}{4}x-2

d)

y=14x2y=-\frac{1}{4}x-2

37.

Which equation is parallel to the x-axis and goes through the point (2, 5)?

a)

x = 2

b)

x = 5

c)

y = 2

d)

y = 5

38.

Two lines that are perpendicular lines have ...

a)

Slope that is opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above

39.

Two lines that are parallel will have ...

a)

Slope that is opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

40.
What is the best term to describe this image?
a)
intersecting lines
b)
perpendicular lines
c)
parallel lines
d)
arrows
41.
.
.
.
What is the name of this ray?
a)
Ray AB
b)
Ray BA
c)
Ray ABC
d)
Ray AC
42.
What is the term for a straight path that is endless in both directions?
a)
point
b)
line
c)
line segment
d)
ray
43.
What is the term for a part of a line with two endpoints?
a)
point
b)
ray
c)
angle
d)
line segment
44.
What is the term for a dot that marks a location or place in space?
a)
point
b)
line
c)
line segment
d)
ray
45.
What does the image show?
a)
intersecting lines
b)
parallel lines
c)
perpendicular lines
d)
two rays
46.
What kind of lines are shown?
a)
parallel lines
b)
perpendicular lines
c)
straight lines
d)
open lines
47.
Points that lie on the same line are _________.
a)
coplanar
b)
collinear
c)
parallel
d)
perpendicular
48.

A _______ forms a flat surface extending indefinitely in all directions.

a)

Point

b)

Line

c)

Plane

49.
A__________ is a fixed position in space and has no dimensions or size.
a)
Point
b)
Line
c)
Plane
d)
Cube
50.

A ____ is usually named with a capital letter.

a)

Point

b)

Line

c)

Plane

51.
Two lines intersect at a ....
a)
angle
b)
point
c)
line
d)
intersection
52.

What is this?

a)

line

b)

line segment

c)

ray

d)

point

53.
How many points do you need to make a line?
a)
1
b)
at least 2
c)
3
d)
4
54.
A line is named by...
a)
Any 2 points on the line, or a lowercase script letter.
b)
Any 3 points on the line.
c)
Any 1 point on the line.
d)
Any 3 points on the line, or a uppercase script letter.
55.
A line that contains point M.
a)
Line q
b)
Line p
c)
Line r
d)
Line NH
56.
Give another name for line k.
a)
Line BC
b)
Line BCE
c)
Line ED
d)
Line k is the only name, there isn't another name.
57.

What is another name for line t?

a)

line BC

b)

line DC

c)

line EC

d)

line FC

58.
Points that lie on the same line are _________.
a)
coplanar
b)
collinear
c)
parallel
d)
perpendicular
59.
An example of 2 non-collinear points.
a)
D, E
b)
C, B
c)
M, E
d)
F, B
60.

Name 4 collinear points

a)
HMNO
b)
IKNO
c)
MJOL
d)
HNKI
61.

Select all points that are collinear with points D and C.

a)

E

b)

M

c)

H

d)

F

62.

What is a line segment?

a)

A part of a line that has one endpoint and extends infinitely in one direction

b)

A flat surface that extends infinitely in all directions

c)

A part of a line that has two endpoints

d)

A straight path that extends infinitely in both directions

63.

Which terms describe the figure?

a)

MN\overleftarrow{M}\overrightarrow{N}  

b)

NM\overline{NM}  

c)

MN\overline{MN}  

d)

NM\overrightarrow{NM}  

e)

MN\overrightarrow{MN}  

64.
Name the image
a)
Line
b)
Ray
c)
Line segment
d)
Angle
65.

This picture shows

a)

EF\overline{EF}  

b)

EF\overrightarrow{EF}  

c)

FE\overrightarrow{FE}  

d)

EF\overleftarrow{E}\overrightarrow{F}  

66.

A _______ forms a flat surface extending indefinitely in all directions.

a)

Point

b)

Line

c)

Plane

67.
A plane is named by...
a)
Any 1 point on the plane.
b)
Any 3 collinear points on the plane or a lowercase script letter.
c)
Any 3 non-collinear points on the plane or an uppercase script letter.
d)
All points on the plane that aren't part of a line.
68.
Two planes intersect at a...
a)
line
b)
point
c)
plane
d)
letter
69.
A plane containing point A.
a)
Plane DEA
b)
Plane k
c)
Plane CDF
d)
Plane F
70.
Are points D and E collinear or coplanar?
a)
Collinear
b)
Coplanar
71.
Name the intersection of Plane ADE and Plane W
a)
Point E
b)
Point A
c)
Line AD
d)
Line EA
72.

Match the following terms with their correct definitions.

a)

A part of a line that starts at a point and extends indefinitely in one direction.

1.

Intersections in a Plane

b)

The exact middle point in a line segment.

2.

Ray

c)

The point where two lines or rays meet.

3.

Midpoint

d)

A part of a line that is bounded by two distinct end points and contains every point on the line between its endpoints.

4.

Line Segment

73.

Which of these statements are true about intersections in a plane?

a)

A line and a plane can intersect at a point

b)

Two planes can intersect at a line

c)

Two lines in a plane always intersect at a point

d)

Two lines in a plane can intersect at more than one point

e)

A line and a plane can intersect at a line

74.

Where does line p and plane R intersect?

a)

line m

b)

point C

c)

plane Q

d)

point M

75.

Are points B, C, and H coplanar?

a)

Yes

b)

No

c)

Maybe

d)

Justin Bieber

76.

Where does plane R and plane Q intersect?

a)

line p

b)

point M

c)

point C

d)

They do not intersect.

77.

How many lines can pass through one given point?

a)

1

b)

2

c)

Infinite

d)

1000

78.

How many noncollinear points determine a plane?

a)

1

b)

2

c)

3

d)

infinitely many

79.

Which among a point, a line, or a plane does a floor represent?

a)

point

b)

line

c)

plane

80.

What geometric term could represent a laser beam?

a)

point

b)

a line

c)

a point

d)

an arc

81.
In a practical scenario, what could represent intersecting lines?
a)
A ladder leaning against a wall
b)
A set of train tracks
c)
A staircase
d)
A crossroad