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Coordinate Geometry Worksheet - Page 8

Coordinate Geometry Worksheet
  • Page 8
 71.  
Bob made the grid to show the location of his school to his uncle. Which of the following is the possible route to reach the school from the shoe store?


a.
move 1 unit east and 3 units south
b.
move 2 units north and 3 units south
c.
move 3 units east and 3 units south
d.
move 2 units east and 4 units south


Solution:

The possible route to reach the school from the shoe store is moving 1 unit east and 3 units south.


Correct answer : (1)
 72.  
Which coordinate pair best represents point A on the coordinate grid shown?

a.
(11 4, 21 4)
b.
(11 3, 21 3)
c.
(4, 1 3)
d.
(4, 7)


Solution:

The point A is located 4 units to the right of the origin and 7 units up from the x-axis. Each unit represents 1 / 3 on the axes.

So, the coordinates of the point A are (11 / 3, 21 / 3).
[4 × 1 / 3 = 4 / 3 = 11 / 3 and 7 × 1 / 3 = 7 / 3 = 21 / 3.]


Correct answer : (2)
 73.  
Which coordinate pair best represents point C on the coordinate grid shown?


a.
(9, 3)
b.
(3, 1)
c.
(1, 3)
d.
(21 3, 4 3)


Solution:

The point C is located 9 units to the right of the origin and 3 units up from the x-axis. Each unit represents 1 / 3 on the axes.

So, the coordinates of the point C are (3, 1).
[9 × 1 / 3 = 9 / 3 = 3 and 3 × 1 / 3 = 3 / 3 = 1 .]


Correct answer : (2)
 74.  
Which coordinate pair best represents point X on the coordinate grid shown?


a.
(1.20, 0.80)
b.
(0.75, 1.25)
c.
(1.25, 0.75)
d.
(5, 3)


Solution:

The point X is located 5 units to the right of the origin and 3 units up from the x-axis. Each unit represents 0.25 on the axes.

So, the coordinates of the point X are (1.25, 0.75).
[5 × 0.25 = 1.25 and 3 × 0.25 = 0.75.]


Correct answer : (3)
 75.  
Identify the coordinate pair that best represents point D on the coordinate grid shown.

a.
(8, 2 3)
b.
(8, 2)
c.
(8 3, 2 3)
d.
(8 3, 1 3)


Solution:

The point D is located 8 units to the right of the origin and 2 units up from the x-axis. Each unit represents 1 / 3 on the axes.

So, the coordinates of the point D are (8 / 3, 2 / 3).
[8 × 1 / 3 = 8 / 3 and 2 × 1 / 3 = 2 / 3 .]


Correct answer : (3)
 76.  
Find the coordinate pair that best represents the point E on the coordinate grid shown.

a.
(5, 2)
b.
(1, 1 3)
c.
(11 3, 2 3)
d.
(11 2, 1 2)


Answer: (c)


Correct answer : (3)
 77.  
Find the length of the line segments joining the points A(8, 5) and B(12, 5).
a.
4 units
b.
12 units
c.
20 units
d.
25 units


Solution:

Distance between the given points can be found by calculating the length of the horizontal line segment joining the points.

The length of a horizontal line segment on a coordinate plane equals the difference between the x-coordinates.

The points have same y-coordinate but different x-coordinates.

So, the distance between the two points = 12 - 8 = 4.
[Difference between x-coordinates.]

The distance between the points (8, 5) and (12, 5) is 4 units.


Correct answer : (1)
 78.  
Find the length of the line segments joining the points A(2, 9) and B(5, 9).
a.
3 units
b.
16 units
c.
5 units
d.
7 units


Solution:

The length of a horizontal line segment on a coordinate plane equals the difference between the x-coordinates.

The points have same y-coordinate but different x-coordinates.

So, the distance between the two points = 5 - 2 = 3.
[Difference between x-coordinates.]

So, the length of the line segment joining the two points A(2, 9) and B(5, 9) is 3 units.


Correct answer : (1)
 79.  
What is the length of the line segment joining the points (9, - 4) and (18, - 4)?
a.
11 units
b.
9 units
c.
27 units
d.
8 units


Solution:

The length of a horizontal line segment on a coordinate plane equals the difference between the x-coordinates.

The points have same y-coordinate but different x-coordinates.

So, the distance between the two points = 18 - 9 = 9.
[Difference between x-coordinates.]

The length of the line segment joining the points (9, -4) and (18, -4) is 9 units.


Correct answer : (2)
 80.  
Find the length of the line segments joining the points P(6, 6) and Q(6, 8).
a.
14 units
b.
2 units
c.
15 units
d.
18 units


Solution:

The length of a vertical line segment on a coordinate plane equals the difference between the y-coordinates.

The points have same x-coordinate but different y-coordinates.

So, the length of the line segments = 8 - 6 = 2.
[Difference between the y-coordinates.]

The length of the line segments joining the points is 2 units.


Correct answer : (2)

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