﻿ Coordinate Plane Worksheets | Problems & Solutions # Coordinate Plane Worksheets

Coordinate Plane Worksheets
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1.
Find the coordinates of point B on the scatter plot.  a. (5, 3) b. (3, 5) c. (7, 8) d. (8, 7)

#### Solution:

The point B is 8 units to the right from the vertical axis.

So, the x-coordinate of the point B is 8.

The point B is 7 units up from the horizontal axis.

So, the y-coordinate of the point B is 7.

So, the coordinates of the point B are (8, 7).

2.
Identify the quadrants in which the points (- 9, 8) and (3, - 9) are located. a. second and fourth quadrants b. first and fourth quadrants c. first and second quadrants d. second and third quadrants

#### Solution:

Start at the origin.

Move 9 units to the left from the y-axis.

Then move 8 units above the x-axis.

The point (- 9, 8) is in the second quadrant.

Move 3 units to the right from the origin on the x-axis.

Then move 9 units below the x-axis.

The point (3, - 9) is in the fourth quadrant.

The points (- 9, 8) and (3, - 9) are in the second and fourth quadrants.

3.
Name the point in the graph with the coordinates (3, 4).  a. X b. I c. W d. C

#### Solution:

Start at the origin.

Move 3 units to the right from the y-axis.
[The x-coordinate is 3.]

Then move 4 units above the x-axis.
[The y-coordinate is 4.]

So, the point with the coordinates (3, 4) is I.

4.
How far is the point (- 5, 3) from $y$-axis? a. - 5 units b. 5 units c. 6 units d. 7 units

#### Solution:

The x-coordinate of a point gives the distance of the point from the y-axis and the y-coordinate gives the distance of the point from the x-axis.

So, the point (- 5, 3) is at a distance of 5 units from the y-axis.
[Since distance is always positive, take the absolute value.]

5.
Write the coordinates of point F from the graph.  a. (-4, 5) b. (4, 5) c. (4, -5) d. (-4, -5)

#### Solution:

Start at the origin.

The point F is 4 units to the right from the y-axis.

So, the x-coordinate of point F is 4.

Point F is 5 units below the x-axis.

So, the y-coordinate of point F is -5.

The coordinates of the point F are (4, -5).

6.
In which quadrant does the point (2, 1) lie? a. fourth quadrant b. third quadrant c. second quadrant d. first quadrant

#### Solution:

Both x and y coordinates of the point (2, 1) are positive.

Both the x and y coordinates of a point are positive in only the first quadrant.

So, the point (2, 1) lies in the first quadrant.

7.
In which quadrant does the point (- 3, 5) lie? a. quadrant II b. quadrant I c. quadrant III d. quadrant IV

#### Solution:

All the points in the second quadrant have negative x-coordinate and positive y-coordinate.

So, the point (- 3, 5) lies in the quadrant II.

8.
Where does the point (3, 0) lie? a. $y$-axis b. quadrant II c. $x$-axis d. quadrant III

#### Solution:

Start at the origin.

Move 3 units to the right on the x-axis.
[Since the x-coordinate is 3.]

The point (3, 0) is on the x-axis.

9.
Write the coordinates of the point E in the graph.  a. (-2, 3) b. (-2, -3) c. (2, -3) d. (2, 3)

#### Solution:

The point E is located 2 units to the right and 3 units up from the origin.

So, the coordinates of the point E are (2, 3).

10.
Graph a point whose second coordinate is 2.  a. Graph 1 b. Graph 2 c. Graph 3 d. Graph 4

#### Solution:

Second coordinate means y-coordinate of a point.

The line y = 2 is parallel to x - axis.

All the points on the line y = 2 have y-coordinate as 2.

So, Graph 2 shows a set of points whose second coordinate is 2.