# Coordinate Geometry Worksheet - Page 10

Coordinate Geometry Worksheet
• Page 10
91.
In which quadrant is the point N(2, 7) located?

#### Solution:

In quadrant I, both x and y-coordinates are positive.

Both the x and y-coordinates of the point N(2, 7) are positive.

So, the point N(2, 7) is located in the quadrant I.

92.
Where is the point M(-3, 0) located in a coordinate plane?
 a. On the $y$-axis between the quadrants III and IV. b. On the $x$-axis between the quadrants II and III. c. On the $y$-axis between the quadrants I and II. d. None of the above

#### Solution:

Start at the origin.

Move 3 units to the left from the origin.

Draw a point on the x-axis and label it as M.

The point M(-3, 0) is located on the x-axis between the quadrants II and III.

93.
Jerald plots a point G at a distance of 4 units to the right from the origin and at a distance of 5 units down from the $x$-axis. Find the coordinates of the point G.
 a. (4, 5) b. (1, 0) c. (4, -5) d. (-4, -5)

#### Solution:

Moving to a distance of 4 units to the right from the origin gives the x-coordinate of the point G as 4.

Moving to a distance of 5 units down from the x-axis gives the y-coordinate of the point G as -5.

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

94.
A 4-point star is drawn as shown in the graph. What are the coordinates of the four points?

 a. A(0, -6), B(6, 0), C(6, -6) and D(-6, 0) b. A(0, 0), B(6, 0), C(0, -6) and D(-6, 0) c. A(0, 6), B(6, 0), C(0, -6) and D(-6, 0) d. A(0, 4), B(6, 0), C(0, -4) and D(-6, 0)

#### Solution:

The point A is at a distance of 6 units above the origin on y-axis.

So, the coordinates of the point A are (0, 6).

The point B is at a distance of 6 units to the right from the origin on x-axis.

So, the coordinates of the point B are (6,0).

The point C is at a distance of 6 units below the origin on y-axis.

So, the coordinates of the point C are (0, -6).

Point D is at a distance of 6 units to the left from the origin on the x- axis.

So, the coordinates of the point D are (-6, 0).

95.
Irena moves from the first position, which is 2 units to the right and 2 units up from the $x$-axis in the coordinate system to the second position, which is 8 units to the right from the origin and 2 units up from the $x$-axis. Find the distance traveled by Irena along the $x$-axis.
 a. 6 units b. 3 units c. 4 units d. None of the above

#### Solution:

The first position of Irena is at (2, 2).

Then the second position is at (8, 2).

Along the x-axis, change in the position of Irena is 6 units.
[Difference between the x-coordinates of the two positions].

So, the distance traveled by Irena along the x-axis is 6 units.

96.
In which quadrant is the point C (9, - 2) located?

#### Solution:

The x-coordinate is positive and the y-coordinate is negative in quadrant IV.

In the point C (9, - 2), the x-coordinate is positive and the y-coordinate is negative.

So, the point C (9, - 2) is located in the quadrant IV.

97.
What is the distance between the two points G (0, 7) and H (0, 10) on the coordinate plane?
 a. 3 units b. 4units c. 5units d. 2units

#### Solution:

Since the x-coordinates of both the points G and H are 0, the points lie on the y-axis.

Point G is at the distance of 7 units from the x-axis and point H is at the distance of 10 units from the x-axis.

The distance between the two points is 3 units.
[Difference between the y-coordinates of the two points]

98.
Which of the following points is down from the $x$-axis?
 a. (4,-7) b. (5, 7) c. (-1, 0) d. None of the above

#### Solution:

A point is down from the x-axis only if both the coordinates of the point are negative or if the x-coordinate is positive and the y-coordinate is negative, in a coordinate plane.

The only given point which is down from the x-axis with the x-coordinate positive and the y-coordinate negative is (4, -7).

(4, -7) is the point, which is down from the x-axis.

99.
The map is a part of top 50 US city pear markets in a coordinate system. Find the coordinates of the location of Fort Lauderdale.

 a. D and 4 b. C and 4 c. B and 2 d. A and 2

#### Solution:

Move to the third row C in the map.

Move to the right till the 4th column.

This particular section is known as the section C4 where Fort Lauderdale is located.

The coordinates of the location of Fort Lauderdale are C and 4.

100.
The map is a part of the ABC Airlines' top 10 domestic passenger markets on a coordinate system. Name the places located in the sixth column of the map.

 a. Baltimore and New York b. Kansas city and Chicago c. Kansas city and St. Louis d. Baltimore and Chicago

#### Solution:

Move to the sixth column of the map.

Move downwards to the first row.

This is the section A6 where New York is located.

Move downwards to the second row.

This is the section B6 where Baltimore is located.

So, Baltimore and New York are the places located in the sixth column of the map.