# 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 $(1,2)$

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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 $(-2,1)$

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c)

a
$C(-2,3)$

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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 $(3,-2)$

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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 $(1,-3)$

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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 $(-3,-2)$

Question ID: 40010040030

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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 $(-3,-3)$

Question ID: 40010040040

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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 $(2,2)$

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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
$C(0,0)$

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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 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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Question ID: 40010070010

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b) $B(-5,0)$

a

Question ID: 40010070020

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Question ID: 40010070020

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c) $C(6,-3)$

a

Question ID: 40010070030

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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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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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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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d) $D(-3,-7)$

a

Question ID: 40010080040

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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 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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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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k) $K(0,1)$

a
Does not lie in any quadrants. It lies on the $y$-axis

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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**

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)

b)

c)

d)

e)

f)

g)

h)

i)

j)

k)

l)

m)

**Question 10**

a)

b)

c)