Plotting Points

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Question 1 of 6

1. Question
Identify the points $A, B, C$ $A, B, C$ and $D$ $D$

Enter points as: $x, y$ $x,y$
- $A =$ $A=$ (4,5)
  
  $B =$ $B=$ (0,4)
  
  $C =$ $C=$ (2,3)
  
  $D =$ $D=$ (3,2)
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An ordered pair $($ $($ $x$ $x$ $,$ $,$ $y$ $y$ $)$ $)$ gives you the location of a point on the coordinate plane

The $x-coordinate$ $\text(x-coordinate)$ gives you the horizontal position

The $y-coordinate$ $\text(y-coordinate)$ gives you the vertical position

Point A

Go right $4$ $4$ units on the $x-axis$ $\text(x-axis)$ , then up $5$ $5$ units from there on the $y-axis$ $\text(y-axis)$ .

$A = ($ $A=($ $4$ $4$ $,$ $,$ $5$ $5$ $)$ $)$

Point B

The point is $0$ $0$ units on the $x-axis$ $\text(x-axis)$ since it is at the origin, then up $4$ $4$ units from there on the $y-axis$ $\text(y-axis)$ .

$B = ($ $B=($ $0$ $0$ $,$ $,$ $4$ $4$ $)$ $)$

Point C

Go right $2$ $2$ units on the $x-axis$ $\text(x-axis)$ , then up $3$ $3$ units from there on the $y-axis$ $\text(y-axis)$ .

$C=($ $2$ $,$ $3$ $)$

Point D

Go right $3$ units on the $\text(x-axis)$ , then up $2$ units from there on the $\text(y-axis)$ .

$D=($ $3$ $,$ $2$ $)$

$A=(4,5)$

$B=(0,4)$

$C=(2,3)$

$D=(3,2)$
Question 2 of 6

2. Question
Which graph represents the points $A, B, C$ and $D$ on the number plane

$A(1,4)$

$B(4,1)$

$C(3,2)$

$D(2,5)$
- 1.
- 2.
- 3.
- 4.
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An ordered pair $($ $x$ $,$ $y$ $)$ gives you the location of a point on the coordinate plane

The $\text(x-coordinate)$ gives you the horizontal position

The $\text(y-coordinate)$ gives you the vertical position

Plot $A($ $1$ $,$ $4$ $)$

Go right $1$ unit on the $\text(x-axis)$ and then up $4$ units from there on the $\text(y-axis)$

Plot $B($ $4$ $,$ $1$ $)$

Go right $4$ units on the $\text(x-axis)$ and then up $1$ unit from there on the $\text(y-axis)$

Plot $C($ $3$ $,$ $2$ $)$

Go right $3$ units on the $\text(x-axis)$ and then up $2$ units from there on the $\text(y-axis)$

Plot $D($ $2$ $,$ $5$ $)$

Go right $2$ units on the $\text(x-axis)$ and then up $5$ units from there on the $\text(y-axis)$
Question 3 of 6

3. Question
Match up the points $Q, R, S$ and $T$ with their corresponding coordinates.

$(2,4)$

$(1,3)$

$(3,1)$

$(4,3)$
- (Q) $=(2,4)$
  
  (R) $=(1,3)$
  
  (S) $=(3,1)$
  
  (T) $=(4,3)$
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An ordered pair $($ $x$ $,$ $y$ $)$ gives you the location of a point on the coordinate plane

The $\text(x-coordinate)$ gives you the horizontal position

The $\text(y-coordinate)$ gives you the vertical position

Plot the point $($ $2$ $,$ $4$ $)$

Go right $2$ units on the $\text(x-axis)$ and then up $4$ units from there on the $\text(y-axis)$ . This matches point $Q$ .

Plot the point $($ $1$ $,$ $3$ $)$

Go right $1$ unit on the $\text(x-axis)$ and then up $3$ units from there on the $\text(y-axis)$ . This matches point $R$ .

Plot the point $($ $3$ $,$ $1$ $)$

Go right $3$ units on the $\text(x-axis)$ and then up $1$ unit from there on the $\text(y-axis)$ . This matches point $S$ .

Plot the point $($ $4$ $,$ $3$ $)$

Go right $4$ units on the $\text(x-axis)$ and then up $3$ units from there on the $\text(y-axis)$ . This matches point $T$ .

$Q=(2,4)$

$R=(1,3)$

$S=(3,1)$

$T=(4,3)$
Question 4 of 6

4. Question
Match up the points $A, B, C$ and $D$ with their corresponding coordinates.

$(3,1)$

$(1,-2)$

$(-3,1)$

$(-2,3)$
- (A) $=(3,1)$
  
  (B) $=(1,-2)$
  
  (C) $=(-3,1)$
  
  (D) $=(-2,3)$
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An ordered pair $($ $x$ $,$ $y$ $)$ gives you the location of a point on the coordinate plane

The $\text(x-coordinate)$ gives you the horizontal position

The $\text(y-coordinate)$ gives you the vertical position

Plot the point $($ $3$ $,$ $1$ $)$

Go right $3$ units on the $\text(x-axis)$ and then up $1$ unit from there on the $\text(y-axis)$ . This matches point $A$ .

Plot the point $($ $1$ $,$ $-2$ $)$

Go right $1$ unit on the $\text(x-axis)$ and then down $2$ units from there on the $\text(y-axis)$ . This matches point $B$ .

Plot the point $($ $-3$ $,$ $1$ $)$

Go left $3$ units on the $\text(x-axis)$ and then up $1$ unit from there on the $\text(y-axis)$ . This matches point $C$ .

Plot the point $($ $-2$ $,$ $3$ $)$

Go left $2$ units on the $\text(x-axis)$ and then up $3$ units from there on the $\text(y-axis)$ . This matches point $D$ .

$A=(3,1)$

$B=(1,-2)$

$C=(-3,1)$

$D=(-2,3)$
Question 5 of 6

5. Question
Which graph plots the points $A, B, C$ and $D$

$A(-3,3)$

$B(2,3)$

$C(2,0)$

$D(-3,0)$
- 1.
- 2.
- 3.
- 4.
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An ordered pair $($ $x$ $,$ $y$ $)$ gives you the location of a point on the coordinate plane

The $\text(x-coordinate)$ gives you the horizontal position

The $\text(y-coordinate)$ gives you the vertical position

Plot $A($ $-3$ $,$ $3$ $)$

Go left $3$ units on the $\text(x-axis)$ and then up $3$ units from there on the $\text(y-axis)$

Plot $B($ $2$ $,$ $3$ $)$

Go right $2$ units on the $\text(x-axis)$ and then up $3$ units from there on the $\text(y-axis)$

Plot $C($ $2$ $,$ $0$ $)$

Go right $3$ units on the $\text(x-axis)$ and then up $0$ unit from there on the $\text(y-axis)$ . The point is along the $\text(x-axis)$ .

Plot $D($ $-3$ $,$ $0$ $)$

Go left $3$ units on the $\text(x-axis)$ and then up $0$ units from there on the $\text(y-axis)$ . The point is along the $\text(x-axis)$ .

Question 6 of 6

Find the area of the triangle with vertices

$P, Q$ and

$R$
Hint: First plot the three vertices on a number plane

$P(0,3)$

$Q(2,-1)$

$R(-3,-1)$

$\text(Area )=$ (10) $\text(square units)$

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An ordered pair

$($ $x$

$,$ $y$

$)$ gives you the location of a point on the coordinate plane

The $\text(x-coordinate)$ gives you the horizontal position
The $\text(y-coordinate)$ gives you the vertical position

Plot the points

$P($ $0$

$,$ $3$

$)$ ,

$Q($ $2$

$,$ $-1$

$)$ and

$R($ $-3$

$,$ $-1$

$)$ :

Plot

$P$ : Go up $3$ units on the

$\text(y-axis)$ from the origin.

Plot

$Q$ : Go right $2$ units on the

$\text(x-axis)$ and then down $1$ unit from there on the

$\text(y-axis)$

Plot

$R$ : Go left $3$ units on the

$\text(x-axis)$ and then down $1$ unit from there on the

$\text(y-axis)$

Draw lines connecting the three points

Connect points

$P$ and

$Q$ ,

$Q$ and

$R$ and

$P$ and

$R$ .

Find the $\text (base length)$ and $\text (vertical height)$ by counting the number of units

$\text(Base length) =5$ $\text(units)$

$\text(Vertical height) =4$ $\text(units)$

Solve for the area of triangle

$PQR$

$A$	$=$	$\frac{1}{2} {\color\gold {b}}{\color \red {h}}$	Formula for Area of triangle

	$=$	$\frac{1}{2} ({\color\gold{5}})({\color \red{4}})$	Substitute base length and vertical height

	$=$	$1/2 (20)$	Simplify

	$=$	$10$

$\text(Area) =10 \text(square units)$

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