﻿ Coordinate Geometry Worksheet - Page 14 | Problems & Solutions
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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.

Correct answer : (4)
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.

Correct answer : (1)
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.

Correct answer : (4)
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.

Correct answer : (3)
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.

Correct answer : (2)
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.

Correct answer : (2)
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.

Correct answer : (1)
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.

Correct answer : (1)
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.

Correct answer : (2)

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