﻿ Coordinate Geometry Worksheet - Page 8 | Problems & Solutions

# 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.

72.
Which coordinate pair best represents point A on the coordinate grid shown?

 a. ($1\frac{1}{4}$, $2\frac{1}{4}$) b. ($1\frac{1}{3}$, $2\frac{1}{3}$) c. (4, $\frac{1}{3}$) 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.]

73.
Which coordinate pair best represents point C on the coordinate grid shown?

 a. (9, 3) b. (3, 1) c. (1, 3) d. ($2\frac{1}{3}$, $\frac{4}{3}$)

#### 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 .]

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.]

75.
Identify the coordinate pair that best represents point D on the coordinate grid shown.

 a. (8, $\frac{2}{3}$) b. (8, 2) c. ($\frac{8}{3}$, $\frac{2}{3}$) d. ($\frac{8}{3}$, $\frac{1}{3}$)

#### 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 .]

76.
Find the coordinate pair that best represents the point E on the coordinate grid shown.

 a. (5, 2) b. (1, $\frac{1}{3}$) c. ($1\frac{1}{3}$, $\frac{2}{3}$) d. ($1\frac{1}{2}$, $\frac{1}{2}$)

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.

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.

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.

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.