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Worksheets

Coordinate Plane & Integers

Total questions: 100

Worksheet time: 50mins

Name
Class
Date
1.
What is coordinate R?
a)
(2,5)
b)
(0,1)
c)
(2,3)
d)
(1,0)
2.
What is Coordinate N?
a)
(7,6)
b)
(5,5)
c)
(6,6)
d)
(7,7)
3.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)
4.

Which point is at (0, -3)?

a)

Point E

b)

Point F

c)

Point G

5.

The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)

What is the perimeter of the rectangle?

a)

9 units

b)

12 units

c)

16 units

d)

20 units

6.
This pictures shows what?
a)
reflection over the x-axis
b)
reflection over the x-coordinate
c)
reflection over the y-coordinate
d)
reflection over the y-axis
7.
In the ordered pair (7, 8), which number is the x-coordinate?
a)
7
b)
8
c)
neither
d)
both
8.
Which axis runs horizontally?
a)

x-axis

b)

y-axis

c)

z-axis

9.
What is the ordered pair for the letter A?
a)
(2, 4)
b)
(4, 2)
c)
(-2, 4)
d)
(2, -4)
10.
Ordered pair (0,0) is also known as the ___.
a)
y-axis
b)
x-axis
c)
origin
11.
What letter is located at (8, 5)?
a)
A
b)
B
c)
C
d)
D
12.

Compare: 27 ____ |-27|

a)

<

b)

>

c)

=

13.
What is coordinate L?
a)
(6,6)
b)
(2,5)
c)
(2,3)
d)
(5,2)
14.
What is the ordered pair of point E?
a)
(2,5)
b)
(5,2)
c)
(-5,2)
d)
(5,-2)
15.
What is at (1,2)?
a)
the moon
b)
the sun
c)
a blue planet
d)
a robot
16.
Where is Point A on the coordinate plane?
a)
(7,4)
b)
(1,3)
c)
(9,3)
d)
(4,7)
17.
Name the ordered pair for point C.
a)
(3,4)
b)
(4,3)
c)
(3,7)
d)
(4,7)
18.

Plot the point J to make a rectangle and find the perimeter.

a)

46 units

b)

23 units

c)

66 units

d)

92 units

19.
What is located at (5,3)?
a)
nothing
b)
point A
c)
the park
d)
point B
20.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)

V

21.
What error did the student make when plotting the point (3, 4) according to the picture?                                                                                                                                                                                                                                                                                                                                                                         
a)
The student moved left along the x-axis when he should have moved right
b)
The student plotted the y-coordinate in place of the x-coordinate
c)
The student didn't make a mistake
d)
Both Options 1 and 2
22.
Which quadrant contains the point named by (2, 5)?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
23.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
24.
The axes divide the coordinate plane into four sections called what? 
a)
ordered pairs
b)
origins
c)
quadrants
d)
coordinate plane
25.
If you start at (0,0) and you run 2 miles east and 4 miles north. What plot would you be at on a coordinate plane?
a)
(2,4)
b)
(-4,2)
c)
(4,2)
d)
(-2,4)
26.
Give the coordinates for POINT H.
a)
(-1, 2)
b)
(1, -2)
c)
(-1, -2)
d)
(1 , 2)
27.
Give the coordinates for POINT I.
a)
(-2, 5)
b)
(-2, -5)
c)
(2, 5)
d)
(2, -5)
28.

Which shape is in Quadrant I?

a)

b)

c)

d)

29.

Which shape is in Quadrant IV?

a)

b)

c)

d)

30.
If you were to plot the point (4, -12) what would be the correct method?
a)
Up 4, left 12
b)
Right 4, up 12
c)
Down 4, left 12
d)
Right 4, down 12
31.

Which of these points are on the x axis?

a)

Point A

b)

Point G

32.
Which axis runs vertically?
a)

x-axis

b)

y-axis

33.
A point on a map has an x coordinate of 2 and a y coordinate of 6.  Which ordered pair correctly names the location of this point?
a)
(6,2)
b)
(0,6)
c)
(2,6)
d)
(0,2)
34.

In the quadrant lV, the X value is always ____, and the Y value is always _____?

a)

positive , negative

b)

negative, negative

c)

negative , positive

d)

positive , positive

35.
The coordinates (1,3), (4,6) and (7,9) fall on this line. What is another point that falls on the line?
a)
(0,0)
b)
(2,4)
c)
(5,3)
d)
(4,2)
36.
Which quadrant has a negative x value but a positive y value?
a)

III

b)

II

c)
IV
d)

I

37.

In the third quadrant, the co-ordinates of a point are of the form ( ___, ___)

a)

(-x,y)

b)

(x,y)

c)

(x,-y)

d)

(-x,-y)

38.

Which quadrant is located in the lower right corner of the graph?

a)

1

b)

2

c)

3

d)

4

39.
Reflect (6, -3) over the x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
40.
Reflect (6, -3) over the y-axis.
a)
(-6,-3)
b)
(6,3)
c)
(-3,6)
d)
(3,-6)
41.
Reflect (7, -4) over the x-axis and then over the   y-axis or over the origin. 
a)
(-7,-4)
b)
(-7,4)
c)
(7,4)
d)
(7,-4)
42.
What will happen if a coordinate has a zero?
a)
Nothing will change
b)
It will be on an axis
c)

It is negative

d)
You will have to flip the coordinates around.
43.
A tree is located a the reflection of point B (4, -2) across the x-axis.  What ordered pair describes the location of the oak tree?
a)
(4,2)
b)
(4, -2)
c)
(-4, 2)
d)
(-4, -2)
44.

Points G, H, and I are plotted on the coordinate grid. How many units are between points G and H?

a)

15 units

b)

14 units

c)

10 units

d)

9 units

45.
Reflections over the x-axis change the ____-__________. 
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis 
46.

G is plotted at (3, -2) and is reflected across the y-axis. Which ordered pair below shows this reflection?


*Use the coordinate plane to help you.

a)

(3, 2)

b)

(-3, -2)

c)

(2, 3)

d)

(-2, 3)

47.
What is the reflection of F (3, 4) over the x-axis?
a)
F (-3, -4)
b)
D' (3, -4)
c)
D (-3, 4)
d)
D (4, 3)
48.

A is plotted at (-6, -1) and is reflected across the x-axis Which ordered pair below shows this reflection?

a)

(1, 6)

b)

(6, 1)

c)

(-6, 1)

d)

(-1, -6)

49.
Reflecting over the y-axis changes the ____-_____________. 
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
50.
What is the reflection of R (-1, 6) over the y-axis?
a)
R'(1, 6)
b)
R'(6, 1)
c)
R' (-1, 6)
d)
R' (-6, 1)
51.

What is the reflection of D (4, 3) over both axes?

a)

D' (3, 4)

b)

D' (-3, -4)

c)

D' (-4, -3)

d)

D' (4, -3)

52.

If the coordinates (4,-4) are reflecting over both axes, what would be the ordered pair for the reflected point?

a)

(-4,4)

b)

(-4,-4)

c)

(4,4)

d)

(4,-4)

53.

Reflect (-2, 5) over the y axis.

Think: What will change? the X , Y or both?

a)

(-2, -5)

b)

(2, 5)

c)

(2, -5)

54.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
55.

What axis is the shape reflected over?

a)

y-axis

b)

x-axis

c)

both axes

56.
Reflect about the y-axis
(-2, 7)
a)
-2 , 7
b)
-2, -7
c)
2, -7
d)
2,7
57.
State the line of reflection.
a)
Reflection across y-axis
b)
Reflection across x-axis
c)
Reflection across x = 1
d)
Reflection across y = 1
58.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
59.
Triangle GHI is reflected across the x-axis.  What are the coordinates of I'?
a)
(-2, 6)
b)
(2, 6)
c)
(-6, -2)
d)
(6, 2)
60.
Reflect over x-axis. Which point would be at (3, -6)
a)
A
b)
B
c)
C
d)
H
61.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
62.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
63.
What is a reflection?
a)
When you turn an object around a point.
b)
When you slide an object form one place to another.
c)
When you flip or mirror an object across a line.
d)
When you resize an object.
64.

Triangle GHI is reflected across the y-axis.  What are the coordinates of I'?

a)

(-2, 6)

b)

(2, 6)

c)

(-6, -2)

d)

(6, 2)

65.

Reflect Point B over the y-axis:

a)

(-4, 0)

b)

(4,0)

c)

(0,4)

d)

(0,-4)

66.

Which point is at (-3, 0)?

a)

Point E

b)

Point F

c)

Point G

67.

Find the reflection of Point C over the x-axis.

a)

Point H

b)

Point B

c)

Point G

68.

If the coordinates (2,4) are reflecting over both axes, what would be the ordered pair for the reflected point?

a)

(-4,-2)

b)

(-2,-4)

c)

(2,4)

d)

(4,-2)

69.

What are the coordinates of the point above Z ?

a)

(3,5)

b)

(2,3)

c)

(2,5)

d)

(4,4)

70.
What's the distance between (-11,4) and (4,4)?
a)
-15
b)
15
c)
7
d)
-7
71.
What's the distance between (-3,4) and (-3, -10)?
a)
14
b)
-14
c)
6
d)
-6
72.

What's the distance between (10,4) and (3,4)

a)

7

b)

9

c)

5

d)

13

73.
What's the midpoint of the the line-segment starting at (4, 5) and ending at (-12, 5)
a)
(-4, 5)
b)
(-8, 5)
c)
( 8, 2.5)
d)
(8, 5)
74.

A point is plotted at (6, 1) and is reflected across the x-axis Which ordered pair below shows this reflection?

a)

(6, -1)

b)

(6, 1)

c)

(-6, 1)

d)

(-1, -6)

75.

What is the distance between (-1,-2) and (-3,-2)?

a)

2

b)

5

c)

7

d)

0

76.

What is the distance between the following ordered pairs: (5, 6) and (5, 8)

a)

3 units

b)

4 units

c)

5 units

d)

2 units

77.

Find the distance between the following ordered pairs: (0, 6) and (0, -4)

a)

6 units

b)

4 units

c)

10 units

d)

11 units

78.

When we are trying to find the distance between two points in the SAME quadrant, we ___________ the absolute values.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

79.

When we are trying to find the distance between two points in DIFFERENT quadrants, we ___________ the absolute values.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

80.

Which point is located at a distance of 5 horizontal units from Point E?

a)

Point A

b)

Point B

c)

Point C

d)

Point D

81.

What is the perimeter of the shape?

a)

20 units

b)

12 units squared

c)

22 units

d)

32 units squared

82.

What are the coordinates of the point that would finish the square?

a)
( 2,1 )
b)
(4,5)
c)
( 5, 4 )
d)
( 5, 10 )
83.
Which of the coordinates given could be the fourth point used to form a rectangle?
a)
(3, -6)
b)
(-3, -6)
c)
(-6, 3)
d)
(4, -6)
84.
What is the length of the shortest side of the rectangle?
a)
3 units
b)
4 units
c)
9 units
d)
2 units
85.
What is length of the longest side of the rectangle?
a)
2 units
b)
15 units
c)
14 units
d)
8 units
86.
The coordinates of this rectangle are (1.5, 2) (0, 2) (1.5, 0) and...
a)
(0,0)
b)
(1.5, 1.5)
c)
(-2, 1.5)
d)
(0, -2)
87.
What is the perimeter of the rectangle?
a)
33 units
b)
40 units
c)
28 units
d)
19 units
88.

Find the length of the line segment.

a)

8

b)

7

c)

6

d)

5

89.

What is the perimeter of a rectangle with corners at (2,2), (2,-4), (-5,-4), and (-5,2).

a)

13 units

b)

26 units

c)

42 units

d)

10 units

90.
What does perimeter mean?
a)
the amount of space inside a shape
b)
the distance around the shape
c)
the amount of space inside a shape divided by two
d)
half the distance around a shape
91.
What's a way to define absolute value?
a)
The value of a number
b)
The opposite of a number
c)
The distance of a number from zero
d)
The multiplicative inverse of a number
92.
What is the absolute value of |-26|
a)
26
b)
-26
c)
-36
d)
36
93.

Which statement best describes l -4 l?

a)

the distance from -4 to 4 on a number line

b)

the distance from 4 to 0 on a number line

c)

the distance from -4 to 0 on a number line

d)

the distance from 0 to 4 on a number line

94.
Compare |-5| to the |-10|
a)
|-5| > |-10|
b)
|-5| = |-10|
c)
|-5| < |-10|
95.

What is the distance between the following ordered pairs: (53, 64) and (53, -38)

a)

38 units

b)

64 units

c)

105 units

d)

102 units

96.

Compare: -2 and |-2|

a)

<

b)

>

c)

=

97.

Put the numbers in order from LEAST TO GREATEST (small to big).


-5, 0, 4, -3

a)

-5, -3, 0, 4

b)

-3, -5. 0, 4

c)

-5, -3, 4, 0

98.

Put the numbers in order from LEAST TO GREATEST (small to big).


2, -2, 4, 5

a)

5, 4, 2, -2

b)

-2, 2, 4, 5

c)

-2, 5, 4, 2

99.

Put the numbers in order from GREATEST TO LEAST (big to small)


5, -3, 2, -1

a)

2, 5, -1, -3

b)

5, 2, -1, -3

c)

-3, 5, -1, 2

100.

-7 _____ 3

a)

<

b)

>

c)

=