﻿ Coordinate Geometry Worksheet - Page 13 | Problems & Solutions
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Coordinate Geometry Worksheet
• Page 13
121.
Identify the ordered pair on which the club is located.  a. (7, 7) b. (8, 6) c. (8, 8) d. (8, 7)

#### Solution:

The club is 8 spaces right and 7 spaces up of zero, which is the starting point.

So, the location of the club is given by the ordered pair (8, 7).

Correct answer : (4)
122.
Identify the ordered pair on which the square is located.  a. (4, 5) b. (1, 5) c. (5, 5) d. (4, 4)

#### Solution:

The square is 4 spaces right and 5 spaces up of zero, which is the starting point.

So, the location of the square is given by the ordered pair (4, 5).

Correct answer : (1)
123.
Identify the ordered pair on which the diamond is located.  a. (9, 1) b. (9, 9) c. (9, 10) d. (1, 10)

#### Solution:

The diamond is 9 spaces right and 10 spaces up of zero, which is the starting point.

So, the ordered pair (9, 10) gives the location of the diamond.

Correct answer : (3)
124.
Identify the ordered pair on which the rectangle is located.  a. (2, 3) b. (3, 3) c. (3, 2) d. (2, 2)

#### Solution:

The rectangle is 2 spaces right and 3 spaces up of zero, which is the starting point.

So, the ordered pair (2, 3) gives the location of the rectangle.

Correct answer : (1)
125.
Identify the ordered pair on which the spade is located.  a. (5, 7) b. (9, 8) c. (1, 1) d. (4, 3)

#### Solution:

The spade is 1 space right and 1 space up of zero, which is the starting point.

So, the ordered pair (1, 1) gives the location of the spade.

Correct answer : (3)
126.
On which of the ordered pairs is the coffee cup located?  a. (2, 3) b. (2, 2) c. (3, 2) d. (3, 4)

#### Solution:

The cup is 2 units to the right of vertical number line and 3 units up from the horizontal number line.

So, the coordinates of the point on which the cup is placed are (2, 3).

Correct answer : (1)
127.
What is the distance between the basketball and the soccerball?  a. 4 units b. 5 units c. 3 units d. 2 units

#### Solution:

The line joining the basketball and the soccerball is a horizontal line.

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

The point on which the basketball is located is (1, 3) and that on which the soccerball is located is (4, 3).

So, the distance between the basketball and the soccerball = 4 - 1 = 3.
[Difference between the x-coordinates.]

So, the distance between the basketball and the soccerball is 3 units.

Correct answer : (3)
128.
Find the distance between the points (4, 2) and (4, 6). a. 7 units b. 6 units c. 4 units d. 5 units

#### Solution:

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

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 distance between the two points = 6 - 2 = 4.
[Difference between the y-coordinates.]

The distance between the points (4, 2) and (4, 6) is 4 units.

Correct answer : (3)
129.
Plot the points (3, 1), (6, 2), and (2, 5) and join them. What do you notice? a. a square is formed b. a trapezoid is formed c. a rectangle is formed d. a triangle is formed

#### Solution: Plotting the points on a coordinate plane. The ordered pair (3, 1) is 3 spaces right and 1 space up of zero the ordered pair (6, 2) is 6 spaces right and 2 spaces up of zero and the ordered pair (2, 5) is 2 spaces right and 5 spaces up of zero, which is the starting point. Joining the ordered pairs.

So, by joining the set of points a triangle is formed.

Correct answer : (4)
130.
What are the vertices of the triangle in the coordinate plane?  a. X = (2, 5), Y = (6, 2) and Z = (3, 1) b. X = (2, 5), Y = (5, 2) and Z = (3, 1) c. X, Y and Z d. X = (5, 1), Y = (2, 6) and Z = (1, 3)

#### Solution:

The point X is 2 spaces right and 5 spaces up of zero, which is the starting point.

The point Y is 6 spaces right and 2 spaces up of zero, which is the starting point.

The point Z is 3 spaces right and 1 space up of zero, which is the starting point.

Correct answer : (1)

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