﻿ Coordinate Geometry Worksheet - Page 14 | Problems & Solutions

# Coordinate Geometry Worksheet - Page 14

Coordinate Geometry Worksheet
• Page 14
131.
Name the polygon formed when these points (4, 9), (6, 9), (4, 2), and (6, 2) are plotted on a coordinate grid and joined.
 a. a triangle is formed b. a rhombus is formed c. a square is formed d. a rectangle is formed

#### Solution:

Plotting the points on a coordinate plane. The ordered pair (4, 9) is 4 spaces right and 9 spaces up of zero the ordered pair (6, 9) is 6 spaces right and 9 spaces up of zero the ordered pair (4, 2) is 4 spaces right and 2 spaces up of zero and the ordered pair (6, 2) is 6 spaces right and 2 spaces up of zero, which is the starting point.

Joining the ordered pairs.

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

132.
Plot the points (2, 3), (-2, 3), (3, -2), and (-3, -2) and join them to make a polygon. What do you notice?
 a. A quadrilateral is formed. b. A circle is formed. c. A triangle is formed. d. None of the above

#### Solution:

Plotting the points on a coordinate plane. The ordered pair (2, 3) is 2 spaces right and 3 spaces up of zero the ordered pair (-2, 3) is 2 spaces left and 3 spaces up of zero the ordered pair (3, -2) is 3 spaces right and 2 spaces down of zero and the ordered pair (-3, -2) is 3 spaces left and 2 spaces down of zero, which is the starting point.

Joining the ordered pairs.

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

133.
Identify the quadrant in which the ordered pair (- 7, - 4) is located.
 a. Second b. First c. Fourth d. Third

#### Solution:

When both the x-coordinate and the y-coordinate are positive values, the ordered pair lies in the first quadrant.

When the x-coordinate is negative and the y-coordinate is positive, the ordered pair lies in the second quadrant.

When both the x-coordinate and the y-coordinate are negative, the ordered pair lies in the third quadrant.

When the x-coordinate is positive and the y-coordinate is negative, the ordered pair lies in the fourth quadrant.

In the ordered pair, both the x-coordinate and the y-coordinate are negative. So, it lies in the third quadrant.

134.
Which of these quadrants is the ordered pair (8, 4) located in?
 a. Third b. Fourth c. First d. Second

#### Solution:

When both the x-coordinate and the y-coordinate are positive values, the ordered pair lies in the first quadrant.

When the x-coordinate is negative and the y-coordinate is positive, the ordered pair lies in the second quadrant.

When both the x-coordinate and the y-coordinate are negative, the ordered pair lies in the third quadrant.

When the x-coordinate is positive and the y-coordinate is negative, the ordered pair lies in the fourth quadrant.

In the ordered pair, both the x- coordinate and the y-coordinate are positive. So, it lies in the first quadrant.

135.
Which of these quadrants is the ordered pair (9, - 5) located in?
 a. Third b. Fourth c. First d. Second

#### Solution:

When both the x-coordinate and the y-coordinate are positive values, the ordered pair lies in the first quadrant.

When the x-coordinate is negative and the y-coordinate is positive, the ordered pair lies in the second quadrant.

When both the x-coordinate and the y-coordinate are negative, the ordered pair lies in the third quadrant.

When the x-coordinate is positive and the y-coordinate is negative, the ordered pair lies in the fourth quadrant.

In the ordered pair, the x-coordinate is positive and the y-coordinate is negative. So, it lies in the fourth quadrant.

136.
Which of these quadrants is the ordered pair (- 9, 3) located in?
 a. First b. Second c. Third d. Fourth

#### Solution:

When both the x-coordinate and the y-coordinate are positive values, the ordered pair lies in the first quadrant.

When the x-coordinate is negative and the y-coordinate is positive, the ordered pair lies in the second quadrant.

When both the x-coordinate and the y-coordinate are negative, the ordered pair lies in the third quadrant.

When the x-coordinate is positive and the y-coordinate is negative, the ordered pair lies in the fourth quadrant.

In the ordered pair, the x-coordinate is negative and the y-coordinate is positive. So, it lies in the second quadrant.

137.
Name the quadrant in which the ordered pair (8, - 8) is located.
 a. Fourth b. Second c. Third d. First

#### Solution:

When both the x-coordinate and the y-coordinate are positive values, the ordered pair lies in the first quadrant.

When the x-coordinate is negative and the y-coordinate is positive, the ordered pair lies in the second quadrant.

When both the x-coordinate and the y-coordinate are negative, the ordered pair lies in the third quadrant.

When the x-coordinate is positive and the y-coordinate is negative, the ordered pair lies in the fourth quadrant.

In the ordered pair, the x-coordinate is positive and the y-coordinate is negative. So, it lies in the fourth quadrant.

138.
Which of these quadrants is the ordered pair (- 15, - 22) located in?
 a. Third b. First c. Second d. Fourth

#### Solution:

When both the x-coordinate and the y-coordinate are positive values, the ordered pair lies in the first quadrant.

When the x-coordinate is negative and the y-coordinate is positive, the ordered pair lies in the second quadrant.

When both the x-coordinate and the y-coordinate are negative, the ordered pair lies in the third quadrant.

When the x-coordinate is positive and the y-coordinate is negative, the ordered pair lies in the fourth quadrant.

In the ordered pair, both the x- coordinate and the y-coordinate are negative. So, it lies in the third quadrant.

139.
Identify the vertices of the rectangle in the coordinate plane.

 a. W = (1, 4), X = (1, 2), Y = (3, 2) and Z = (4, 4) b. W = (1, 4), X = (1, 2), Y = (5, 2) and Z = (5, 4) c. W = (1, 1), X = (2, 2), Y = (5, 2) and Z = (1, 4) d. W = (2, 4), X = (1, 2), Y = (5, 3) and Z = (5, 5)

#### Solution:

The point W is 1 space right and 4 spaces up of zero, which is the starting point.

The point X is 1 space right and 2 spaces up of zero, which is the starting point.

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

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