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1.11 Integers in the coordinate plane

Worksheet
Integers in the coordinate plane
1

Consider the coordinate plane shown:

a

State the object that has the following coordinates:

i

\left(1, 4\right)

ii

\left(3, 6\right)

iii

\left(5, 9\right)

iv

\left(10, 1\right)

b

Write the coordinates of the following objects:

i

Kite

ii

Car

iii

Teddy bear

iv

Bird

2

Consider the coordinate plane shown:

a

State the object that has the following coordinates:

i

\left(8, 1\right)

ii

\left(1, 0\right)

iii

\left(9, 3\right)

iv

\left(6, 10\right)

b

Write the coordinates of the following objects:

i

Star

ii

Burger

iii

Kite

iv

Beach ball

3

Consider the coordinate plane shown:

a

State the object that has the following coordinates:

i

\left(6, 2\right)

ii

\left(4, 3\right)

iii

\left(2, 6\right)

iv

\left(9, 10\right)

b

Write the coordinates of the following objects:

i

Rabbit

ii

Cat

iii

Apple

iv

Book

4

Consider the following coordinate plane:

-9
-8
-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
8
9
x
-9
-8
-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
8
9
y

State the coordinates of the following points:

a
A
b
B
c
C
d
D
e
E
f
F
g
G
h
H
i
I
j
J
k
K
l
L
5

Plot the following points on a coordinate plane:

a
A \left(4, 0\right)
b
B\left(0, 8\right)
c
C\left(4, 6\right)
d
D\left(7, 3\right)
e
E\left(7, 7\right)
f
F\left(0, 0\right)
g
G\left( - 9 , 10\right)
h
H\left(10, - 2 \right)
i
I\left( - 6 , - 5 \right)
j
J\left(-1, 0\right)
k
K\left( 8 , 2 \right)
l
L\left(-8, 3\right)
6

Consider the points plotted on the coordinate plane.

State which point has the following coordinates:

a

\left(9, - 3 \right)

b

\left( - 4 , - 7 \right)

c

\left(2, 4\right)

d

\left( - 8 , 8\right)

-8
-6
-4
-2
2
4
6
8
10
x
-8
-6
-4
-2
2
4
6
8
y
7

Describe in words, how to get to the point \left(9, 4\right) from the origin on the coordinate plane.

8

Find the coordinates of the following points:

a

The point six units to the right of the origin.

b

The point four units above the origin.

c

The point five units to the right of \left(9, 6\right).

d

The point seven units to the left of \left(7, 8\right).

e

The point one unit to the left and eight units below the point \left(3, 10\right).

f

The point three units to the right and two units above the point \left(2, 5\right).

g

The point four units to the left and one unit above the point \left(-1, 1\right).

h

The point five units to the right and five units below the point \left(0, -2\right).

Axes
9

Consider the three points: A \left(7, 5\right), B \left(2, 6\right) and C \left(3, 3\right).

a

Plot these points on a coordinate plane.

b

Which point is closest to the x-axis?

c

Which point is closest to the y-axis?

10
a

State the x-coordinate of:

i

The origin.

ii

Any point on the y-axis.

b

State the y-coordinate of:

i

The origin.

ii

Any point on the x-axis.

11

If point P has an x-coordinate of 0, which axis must it lie on?

12

If \left(a, b\right) is a point that lies on the y-axis, find the value of a.

13

Consider the points A and B plotted on the coordinate plane:

a

Write the coordinates of point A.

b

Write the coordinates of point B.

c

Which axis do points A and B lie on?

-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
Quadrants
14

In which quadrant do the following points lie?

a
\left(5, 3\right)
b
\left(-4, 4\right)
c
\left(2, -3\right)
d
\left(-4, -5\right)
e
\left(-10, -2\right)
f
\left(12, 1\right)
g
\left(-8, 8\right)
h
\left(7, -6\right)
15

State the quadrant(s) that have:

a

Points with a positive y-coordinate.

b

Points with a positive x-coordinate.

c

Points with a negative y-coordinate.

d

Points with a negative x-coordinate.

e

Points where the x-coordinate and y-coordinate have the same sign.

f

Points where the x-coordinate and y-coordinate have the opposite sign.

g

Points with a negative x-coordinate and a positive y-coordinate.

h

Points with a negative x-coordinate and a negative y-coordinate.

16

For each of the following points:

i

Plot the point on a coordinate plane.

ii

State which quadrant the point lies in.

a

\left(4, 1\right)

b

\left(-5, 7\right)

c

\left(-1,-5\right)

d

\left(7, -2\right)

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Outcomes

MA.6.GR.1.1

Extend previous understanding of the coordinate plane to plot rational number ordered pairs in all four quadrants and on both axes. Identify the x- or y-axis as the line of reflection when two ordered pairs have an opposite x- or y-coordinate.

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