To get the best deal on Tutoring, call 1-855-666-7440 (Toll Free)

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.


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)

*AP and SAT are registered trademarks of the College Board.