Graphs - The Cartesian Plane
Question 1
Find the coordinates of $A$, $B$, $C$ and $D$ on the following Cartesian plane

a)
a
$A(2,1)$
Question ID: 40010010010
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$A$ is 2 units to the right of and 1 unit above the origin so point $A$ is $(2,1)$
Question ID: 40010010010
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b)
a
$B(1,2)$
Question ID: 40010010020
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$B$ is 1 unit to the right of and 2 units above the origin so point $B$ is $(1,2)$
Question ID: 40010010020
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c)
a
$C(4,2)$
Question ID: 40010010030
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$C$ is 4 units to the right of and 2 units above the origin so point $C$ is $(4,2)$
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d)
a
$D(4,4)$
Question ID: 40010010040
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$D$ is 4 units to the right of and 4 units above the origin so point $D$ is $(4,4)$
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Question 2
Find the coordinates of $A$, $B$, $C$ and $D$ on the following Cartesian plane

a)
a
$A(0,0)$
Question ID: 40010020010
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$A$ is at the origin (no units above or to the right of the origin) so point $A$ is $(0,0)$
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b)
a
$B(-2,1)$
Question ID: 40010020020
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$B$ is 2 units to the left of and 1 unit above the origin so point $B$ is $(-2,1)$
Question ID: 40010020020
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c)
a
$C(-2,3)$
Question ID: 40010020030
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$C$ is 2 units to the left of and 3 units above the origin so point $C$ is $(-2,3)$
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d)
a
$D(-3,2)$
Question ID: 40010020040
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$D$ is 3 units to the left of and 2 units above the origin so point $D$ is $(-3,2)$
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Question 3
Find the coordinates of $A$, $B$, $C$ and $D$ on the following Cartesian plane

a)
a
$A(1,-1)$
Question ID: 40010030010
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$A$ is 1 unit to the right of and 1 unit below the origin so point $A$ is $(1,-1)$
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b)
a
$B(3,-2)$
Question ID: 40010030020
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$B$ is 3 units to the right of and 2 units below the origin so point $B$ is $(3,-2)$
Question ID: 40010030020
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c)
a
$C(1,-3)$
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$C$ is 1 unit to the right of and 3 units below the origin so point $C$ is $(1,-3)$
Question ID: 40010030030
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d)
a
$D(4,-3)$
Question ID: 40010030040
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$D$ is 4 units to the right of and 3 units below the origin so point $D$ is $(4,-3)$
Question ID: 40010030040
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Question 4
Find the coordinates of $A$, $B$, $C$ and $D$ on the following Cartesian plane

a)
a
$A(-1,-2)$
Question ID: 40010040010
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$A$ is 1 unit to the left of and 2 unit below the origin so point $A$ is $(-1,-2)$
Question ID: 40010040010
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b)
a
$B(-2,-3)$
Question ID: 40010040020
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$B$ is 2 units to the left of and 3 units below the origin so point $B$ is $(-2,-3)$
Question ID: 40010040020
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c)
a
$C(-3,-2)$
Question ID: 40010040030
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$C$ is 3 units to the left of and 2 units below the origin so point $C$ is $(-3,-2)$
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d)
a
$D(-3,-3)$
Question ID: 40010040040
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$D$ is 3 units to the left of and 3 units below the origin so point $D$ is $(-3,-3)$
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Question 5
Find the coordinates of $A$, $B$, $C$ and $D$ on the following Cartesian plane

a)
a
$A(2,2)$
Question ID: 40010050010
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$A$ is 2 units to the right of and 2 units above the origin so point $A$ is $(2,2)$
Question ID: 40010050010
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b)
a
$B(-3,2)$
Question ID: 40010050020
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$B$ is 3 units to the left of and 2 units above the origin so point $B$ is $(-3,2)$
Question ID: 40010050020
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c)
a
$C(0,0)$
Question ID: 40010050030
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$C$ is at the origin (no units above or to the right of the origin) so point $C$ is $(0,0)$
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d)
a
$D(2,-3)$
Question ID: 40010050040
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$D$ is 2 units to the right of and 3 units below the origin so point $D$ is $(2,-3)$
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Question 6
Copy or print the Cartesian Plane below and plot on the points

a) $A(1,2)$
a
Question ID: 40010060010
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Question ID: 40010060010
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b) $B(4,5)$
a
Question ID: 40010060020
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Question ID: 40010060020
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c) $C(0,3)$
a
Question ID: 40010060030
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d) $D(7,1)$
a
Question ID: 40010060040
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Question ID: 40010060040
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e) $E(8,5)$
a
Question ID: 40010060050
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Question 7
Copy or print the Cartesian Plane below and plot on the points

a) $A(-4,3)$
a
Question ID: 40010070010
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b) $B(-5,0)$
a
Question ID: 40010070020
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c) $C(6,-3)$
a
Question ID: 40010070030
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d) $D(4,-7)$
a
Question ID: 40010070040
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Question ID: 40010070040
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e) $E(0,-6)$
a
Question ID: 40010070050
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f) $F(-2,2)$
a
Question ID: 40010070060
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Question ID: 40010070060
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Question 8
Copy or print the Cartesian Plane below and plot on the points

a) $A(-2,-3)$
a
Question ID: 40010080010
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Question ID: 40010080010
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b) $B(-6,-4)$
a
Question ID: 40010080020
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Question ID: 40010080020
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c) $C(-4,-0)$
a
Question ID: 40010080030
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Question ID: 40010080030
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d) $D(-3,-7)$
a
Question ID: 40010080040
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e) $E(0,-4)$
a
Question ID: 40010080050
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f) $F(-7,-7)$
a
Question ID: 40010080060
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Question ID: 40010080060
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g) $G(0,0)$
a
Question ID: 40010080070
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Question 9
Identify which quadrant the following points are in
a) $A(4,5)$
a
Quadrant $1$
Question ID: 40010090010
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Question ID: 40010090010
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b) $B(-5,2)$
a
Quadrant $2$
Question ID: 40010090020
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c) $C(-2,-2)$
a
Quadrant $3$
Question ID: 40010090030
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d) $D(8,-4)$
a
Quadrant $4$
Question ID: 40010090040
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e) $E(5,-4)$
a
Quadrant $4$
Question ID: 40010090050
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f) $F(-4,7)$
a
Quadrant $2$
Question ID: 40010090060
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g) $G(8,20)$
a
Quadrant $1$
Question ID: 40010090070
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h) $H(-5,-6)$
a
Quadrant $3$
Question ID: 40010090080
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i) $I(-4,17)$
a
Quadrant $2$
Question ID: 40010090090
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j) $J(15,-22)$
a
Quadrant $4$
Question ID: 40010090100
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Question ID: 40010090100
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k) $K(0,1)$
a
Does not lie in any quadrants. It lies on the $y$-axis
Question ID: 40010090110
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l) $L(4,0)$
a
Does not lie in any quadrants. It lies on the $x$-axis
Question ID: 40010090120
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m) $M(0,0)$
a
Does not lie in any quadrants. It lies on the origin
Question ID: 40010090130
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Question 10
Copy or print the Cartesian Plane below and plot on the points in order. Join them up to form a picture!

a) $A(2,2)$, $B(2,5)$, $C(4,7)$, $D(6,5)$, $E(6,2)$
a
Question ID: 40010100010
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Question ID: 40010100010
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b) $A(-5,-3)$, $B(-5,3)$, $C(-7,3)$, $D(-4,6)$, $E(-1,3)$, $F(-3,3)$, $G(-3,-3)$
a
Question ID: 40010100020
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c) $A(5,-6)$, $B(-1,1)$, $C(5,7)$, $D(2,7)$, $E(-1,4)$, $F(-1,7)$, $G(-4,7)$ $H(-4,-6)$ $I(-1,-6)$ $J(-1,-3)$
a
Question ID: 40010100030
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Question 1
Find the coordinates of $A$, $B$, $C$ and $D$ on the following Cartesian plane

a)
b)
c)
d)
Question 2
Find the coordinates of $A$, $B$, $C$ and $D$ on the following Cartesian plane

a)
b)
c)
d)
Question 3
Find the coordinates of $A$, $B$, $C$ and $D$ on the following Cartesian plane

a)
b)
c)
d)
Question 4
Find the coordinates of $A$, $B$, $C$ and $D$ on the following Cartesian plane

a)
b)
c)
d)
Question 5
Find the coordinates of $A$, $B$, $C$ and $D$ on the following Cartesian plane

a)
b)
c)
d)
Question 6
Copy or print the Cartesian Plane below and plot on the points

a) $A(1,2)$
b) $B(4,5)$
c) $C(0,3)$
d) $D(7,1)$
e) $E(8,5)$
Question 7
Copy or print the Cartesian Plane below and plot on the points

a) $A(-4,3)$
b) $B(-5,0)$
c) $C(6,-3)$
d) $D(4,-7)$
e) $E(0,-6)$
f) $F(-2,2)$
Question 8
Copy or print the Cartesian Plane below and plot on the points

a) $A(-2,-3)$
b) $B(-6,-4)$
c) $C(-4,-0)$
d) $D(-3,-7)$
e) $E(0,-4)$
f) $F(-7,-7)$
g) $G(0,0)$
Question 9
Identify which quadrant the following points are in
a) $A(4,5)$
b) $B(-5,2)$
c) $C(-2,-2)$
d) $D(8,-4)$
e) $E(5,-4)$
f) $F(-4,7)$
g) $G(8,20)$
h) $H(-5,-6)$
i) $I(-4,17)$
j) $J(15,-22)$
k) $K(0,1)$
l) $L(4,0)$
m) $M(0,0)$
Question 10
Copy or print the Cartesian Plane below and plot on the points in order. Join them up to form a picture!

a) $A(2,2)$, $B(2,5)$, $C(4,7)$, $D(6,5)$, $E(6,2)$
b) $A(-5,-3)$, $B(-5,3)$, $C(-7,3)$, $D(-4,6)$, $E(-1,3)$, $F(-3,3)$, $G(-3,-3)$
c) $A(5,-6)$, $B(-1,1)$, $C(5,7)$, $D(2,7)$, $E(-1,4)$, $F(-1,7)$, $G(-4,7)$ $H(-4,-6)$ $I(-1,-6)$ $J(-1,-3)$
Answers
Question 1
a) $A(2,1)$
b) $B(1,2)$
c) $C(4,2)$
d) $D(4,4)$
Question 2
a) $A(0,0)$
b) $B(-2,1)$
c) $C(-2,3)$
d) $D(-3,2)$
Question 3
a) $A(1,-1)$
b) $B(3,-2)$
c) $C(1,-3)$
d) $D(4,-3)$
Question 4
a) $A(-1,-2)$
b) $B(-2,-3)$
c) $C(-3,-2)$
d) $D(-3,-3)$
Question 5
a) $A(2,2)$
b) $B(-3,2)$
c) $C(0,0)$
d) $D(2,-3)$
Question 6
a)

b)

c)

d)

e)

Question 7
a)

b)

c)

d)

e)

f)

Question 8
a)

b)

c)

d)

e)

f)

g)

Question 9
a) Quadrant $1$
b) Quadrant $2$
c) Quadrant $3$
d) Quadrant $4$
e) Quadrant $4$
f) Quadrant $2$
g) Quadrant $1$
h) Quadrant $3$
i) Quadrant $2$
j) Quadrant $4$
k) Does not lie in any quadrants. It lies on the $y$-axis
l) Does not lie in any quadrants. It lies on the $x$-axis
m) Does not lie in any quadrants. It lies on the origin
Question 10
a)

b)

c)

Question 1
Find the coordinates of $A$, $B$, $C$ and $D$ on the following Cartesian plane

a)
b)
c)
d)
Question 2
Find the coordinates of $A$, $B$, $C$ and $D$ on the following Cartesian plane

a)
b)
c)
d)
Question 3
Find the coordinates of $A$, $B$, $C$ and $D$ on the following Cartesian plane

a)
b)
c)
d)
Question 4
Find the coordinates of $A$, $B$, $C$ and $D$ on the following Cartesian plane

a)
b)
c)
d)
Question 5
Find the coordinates of $A$, $B$, $C$ and $D$ on the following Cartesian plane

a)
b)
c)
d)
Question 6
Copy or print the Cartesian Plane below and plot on the points

a) $A(1,2)$
b) $B(4,5)$
c) $C(0,3)$
d) $D(7,1)$
e) $E(8,5)$
Question 7
Copy or print the Cartesian Plane below and plot on the points

a) $A(-4,3)$
b) $B(-5,0)$
c) $C(6,-3)$
d) $D(4,-7)$
e) $E(0,-6)$
f) $F(-2,2)$
Question 8
Copy or print the Cartesian Plane below and plot on the points

a) $A(-2,-3)$
b) $B(-6,-4)$
c) $C(-4,-0)$
d) $D(-3,-7)$
e) $E(0,-4)$
f) $F(-7,-7)$
g) $G(0,0)$
Question 9
Identify which quadrant the following points are in
a) $A(4,5)$
b) $B(-5,2)$
c) $C(-2,-2)$
d) $D(8,-4)$
e) $E(5,-4)$
f) $F(-4,7)$
g) $G(8,20)$
h) $H(-5,-6)$
i) $I(-4,17)$
j) $J(15,-22)$
k) $K(0,1)$
l) $L(4,0)$
m) $M(0,0)$
Question 10
Copy or print the Cartesian Plane below and plot on the points in order. Join them up to form a picture!

a) $A(2,2)$, $B(2,5)$, $C(4,7)$, $D(6,5)$, $E(6,2)$
b) $A(-5,-3)$, $B(-5,3)$, $C(-7,3)$, $D(-4,6)$, $E(-1,3)$, $F(-3,3)$, $G(-3,-3)$
c) $A(5,-6)$, $B(-1,1)$, $C(5,7)$, $D(2,7)$, $E(-1,4)$, $F(-1,7)$, $G(-4,7)$ $H(-4,-6)$ $I(-1,-6)$ $J(-1,-3)$
Answers
Question 1
a) $A(2,1)$
b) $B(1,2)$
c) $C(4,2)$
d) $D(4,4)$
Question 2
a) $A(0,0)$
b) $B(-2,1)$
c) $C(-2,3)$
d) $D(-3,2)$
Question 3
a) $A(1,-1)$
b) $B(3,-2)$
c) $C(1,-3)$
d) $D(4,-3)$
Question 4
a) $A(-1,-2)$
b) $B(-2,-3)$
c) $C(-3,-2)$
d) $D(-3,-3)$
Question 5
a) $A(2,2)$
b) $B(-3,2)$
c) $C(0,0)$
d) $D(2,-3)$
Question 6
a)

b)

c)

d)

e)

Question 7
a)

b)

c)

d)

e)

f)

Question 8
a)

b)

c)

d)

e)

f)

g)

Question 9
a) Quadrant $1$
b) Quadrant $2$
c) Quadrant $3$
d) Quadrant $4$
e) Quadrant $4$
f) Quadrant $2$
g) Quadrant $1$
h) Quadrant $3$
i) Quadrant $2$
j) Quadrant $4$
k) Does not lie in any quadrants. It lies on the $y$-axis
l) Does not lie in any quadrants. It lies on the $x$-axis
m) Does not lie in any quadrants. It lies on the origin
Question 10
a)

b)

c)

Solutions
Question 1
a) $A$ is 2 units to the right of and 1 unit above the origin so point $A$ is $(2,1)$
b) $B$ is 1 unit to the right of and 2 units above the origin so point $B$ is $(1,2)$
c) $C$ is 4 units to the right of and 2 units above the origin so point $C$ is $(4,2)$
d) $D$ is 4 units to the right of and 4 units above the origin so point $D$ is $(4,4)$
Question 2
a) $A$ is at the origin (no units above or to the right of the origin) so point $A$ is $(0,0)$
b) $B$ is 2 units to the left of and 1 unit above the origin so point $B$ is $(-2,1)$
c) $C$ is 2 units to the left of and 3 units above the origin so point $C$ is $(-2,3)$
d) $D$ is 3 units to the left of and 2 units above the origin so point $D$ is $(-3,2)$
Question 3
a) $A$ is 1 unit to the right of and 1 unit below the origin so point $A$ is $(1,-1)$
b) $B$ is 3 units to the right of and 2 units below the origin so point $B$ is $(3,-2)$
c) $C$ is 1 unit to the right of and 3 units below the origin so point $C$ is $(1,-3)$
d) $D$ is 4 units to the right of and 3 units below the origin so point $D$ is $(4,-3)$
Question 4
a) $A$ is 1 unit to the left of and 2 unit below the origin so point $A$ is $(-1,-2)$
b) $B$ is 2 units to the left of and 3 units below the origin so point $B$ is $(-2,-3)$
c) $C$ is 3 units to the left of and 2 units below the origin so point $C$ is $(-3,-2)$
d) $D$ is 3 units to the left of and 3 units below the origin so point $D$ is $(-3,-3)$
Question 5
a) $A$ is 2 units to the right of and 2 units above the origin so point $A$ is $(2,2)$
b) $B$ is 3 units to the left of and 2 units above the origin so point $B$ is $(-3,2)$
c) $C$ is at the origin (no units above or to the right of the origin) so point $C$ is $(0,0)$
d) $D$ is 2 units to the right of and 3 units below the origin so point $D$ is $(2,-3)$
Question 6
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b)
c)
d)
e)
Question 7
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d)
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f)
Question 8
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Question 9
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Question 10
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