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Coordinate Plane Worksheet

Coordinate Plane Worksheet
  • Page 1
 1.  
If the distance between P(20, a) and Q (8, - 8) is 20 units, then what is the value of a?
a.
- 8 and 24
b.
16
c.
15.32 and 31.32
d.
8 and - 24


Solution:

The distance between two points A(x1, y1) and B(x2, y2) is (x2-x1)²+(y2-y1)²
[The Distance Formula.]

PQ = (20 - 8)2+(a - (- 8))2 = 20
[From step 1.]

122+(a +8)2 = 20
[Simplify.]

144 + (a + 8)2 = 202 = 400
[Squaring on both sides.]

(a + 8)2 = 400 - 144 = 256
[Rearrange.]

a + 8 = 256 = ± 16
[Take square roots on both sides.]

a = ± 16 - 8
[Solve for a.]

a = - 24 or a = + 8


Correct answer : (4)
 2.  
Find the coordinates of the points that lie on the graph y = 3x - 2.
a.
(- 2, - 4)
b.
(- 1, 1)
c.
(3, 5)
d.
(2, 4)


Solution:

The equation of the line is y = 3x - 2.
[Given.]

Substitute the points in the equation and verify.

For coordinates (- 1, 1), 1 = 3(- 1) - 2
1 ≠ - 5

For coordinates (- 2, - 4), - 4 = 3(- 2) - 2
- 4 ≠ - 8

For coordinates (3, 5), 5 = 3(3) - 2
5 ≠ 7

For coordinates (2, 4), 4 = 3(2) - 2
4 = 4

So, the point (2, 4) lie on the line y = 3x - 2


Correct answer : (4)
 3.  
Find the coordinates of the point that doesnot lie on the 2x = - y + 3.
a.
(2, -2)
b.
(- 1, 5)
c.
(1, - 1)
d.
(- 3, 9)


Solution:

The equation of the line is 2x = - y + 3.
[Given.]

Substitute the points in the equation and verify.

For coordinates (1, - 1), 2(1) = - 1 + 3
2 = 2

For coordinates (- 3, 9), 2(- 3) = - 9 + 3
- 6 = - 6

For coordinates (- 1, 5), 2(- 1) = - 5 + 3
- 2 = - 2

For coordinates (2, - 2), 2(2) = - (2) + 3
4 ≠ 1

So, the point (2, - 2) does not lie on the line 2x = - y + 3


Correct answer : (1)
 4.  
Plot the points (2, 1),(4, 1) and (4, 4) and join them. What do you notice?
a.
A triangle is formed
b.
A rectangle is formed
c.
A square is formed
d.
None of the above


Answer: (a)


Correct answer : (1)
 5.  
Identify the ordered pair that corresponds to the point B.

a.
(2, 2)
b.
(- 2, 2)
c.
(2, - 2)
d.
(- 2, - 2)


Answer: (d)


Correct answer : (4)
 6.  
Find the coordinates of the apple placed on the coordinate plane.

a.
(4, 1)
b.
(0, 4)
c.
(1, 4)
d.
(4, 0)


Answer: (b)


Correct answer : (2)
 7.  
Find the coordinates of point X on the scatter plot.


a.
(6, 3)
b.
(4, 2)
c.
(5, 3)
d.
(4, 7)


Answer: (c)


Correct answer : (3)
 8.  
Name the point having the coordinates (- 2.5, 2.5) on the coordinate plane.

a.
C
b.
E
c.
B
d.
G


Answer: (c)


Correct answer : (3)
 9.  
Graph the point A (- 4, 3) on a coordinate plane.


a.
Graph 1
b.
Graph 2
c.
Graph 3
d.
Graph 4


Answer: (a)


Correct answer : (1)
 10.  
Plot the ordered pair of the weight of post 4 oz at the postal rate of $1.30 on a coordinate plane with the weight on the horizontal axis and the postal rate on the vertical axis.


a.
Plot 1
b.
Plot 2
c.
Plot 3
d.
Plot 4


Answer: (b)


Correct answer : (2)

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