Coordinate Geometry Quizzes: Test Your Skills and Understanding

Question 1

Which point lies in the first quadrant of the coordinate plane: where the x-coordinate and y-coordinate are both positive?

Accepted Answer

(3, 5)

Answer

(2, -3)

Answer

(-4, 6)

Answer

(-5, -4)

Question 2

Which graph represents the equation y = 2x - 1?

Accepted Answer

A line with a positive slope

Answer

A line with a negative slope

Answer

A vertical line

Answer

A horizontal line

Question 3

Which point does NOT lie on the graph of the inequality y > x + 2?

Accepted Answer

(4, 3)

Answer

(3, 4)

Answer

(5, 5)

Answer

(6, 6)

Question 4

What is the equation of the line perpendicular to y = 2x + 3 and passing through the point (1, 5)?

Accepted Answer

y = -1/2x + 5.5

Answer

y = -2x + 7

Answer

y = 1/2x + 4.5

Answer

y = 2x + 1

Question 5

Which point lies on the y-axis?

Accepted Answer

(0, 3)

Answer

(5, 0)

Answer

(2, 2)

Answer

(-1, -4)

Question 6

Find the distance between points (2, 5) and (8, 5).

Accepted Answer

6

Answer

2

Answer

10

Answer

14

Question 7

Find the area of the rectangle with vertices (0, 0), (3, 0), (3, 4), and (0, 4).

Accepted Answer

8

Answer

4

Answer

6

Answer

12

Question 8

Which coordinates represent a point located 3 units right and 2 units above the origin?

Accepted Answer

(3, 2)

Answer

(-3, 2)

Answer

(2, 3)

Answer

(-2, 3)

Question 9

Which of the following points is located on the x-axis?

Accepted Answer

(2, 0)

Answer

(0, 2)

Answer

(2, 2)

Answer

(0, 0)

Question 10

Which of the following equations represents a horizontal line passing through the point (2, 5)?

Accepted Answer

y = 5

Answer

x = 2

Answer

y = 2

Answer

x = 5

Question 11

Which graph represents the equation y = 2x + 1?

Accepted Answer

A straight line passing through points (0, 1) and (1, 3)

Answer

A straight line passing through points (0, -1) and (1, 1)

Answer

A circle with center at (0, 1) and radius 2

Answer

A parabola with vertex at (0, 1)

Question 12

Find the x-intercept of the line 3x - 2y = 6.

Accepted Answer

1

Answer

2

Answer

3

Answer

6

Question 13

Which transformation will translate the point (3, -2) to the point (-3, 2)?

Accepted Answer

Translation: 6 units left, 4 units up

Answer

Translation: 3 units right, 4 units down

Answer

Reflection over the x-axis and translation 6 units right

Answer

Rotation: 180 degrees about the origin

Question 14

Which point is located in Quadrant II of the coordinate plane?

Accepted Answer

(-3, -4)

Answer

(-3, 4)

Answer

(3, -4)

Question 15

Which point lies in the first quadrant of the coordinate plane, where both x and y values are positive?

Accepted Answer

(4, 7)

Answer

(3, -5)

Answer

(-2, 8)

Answer

(10, -4)

Question 16

Which of the following transformations moves a figure 3 units to the left? Translation involves shifting a figure along the x or y-axis.

Accepted Answer

Translation: (x, y) -> (x - 3, y)

Answer

Translation: (x, y) -> (x + 3, y)

Answer

Rotation: (x, y) -> (-x, -y)

Answer

Reflection: (x, y) -> (x, -y)

Question 17

Which of the following equations is a vertical line, where the x-coordinate remains constant?

Accepted Answer

x = 3

Answer

y = -2

Answer

y = 3x + 1

Answer

2x + 3y = 6

Question 18

A point is 3 units to the right of the origin and 4 units up. What are its coordinates?

Accepted Answer

(3, 4)

Answer

(4, 3)

Answer

(-3, 4)

Answer

(-4, 3)

Question 19

Calculate the distance between the points (2, 3) and (-1, 7).

Accepted Answer

6

Answer

5

Answer

7

Answer

8

Question 20

Which transformation will move a point up 3 units?

Accepted Answer

Translation: (x, y) -> (x, y + 3)

Answer

Translation: (x, y) -> (x + 3, y)

Answer

Reflection: (x, y) -> (-x, y)

Answer

Rotation: (x, y) -> (y, -x)

Question 21

Which inequality represents the region to the right of the line x = 2?

Accepted Answer

x > 2

Answer

x < 2

Answer

y < 2

Answer

y > 2

Question 22

Which point is located in Quadrant I?

Accepted Answer

(2, 5)

Answer

(-3, 2)

Answer

(5, -4)

Answer

(-6, -3)

Question 23

What is the slope of a line parallel to the x-axis?

Accepted Answer

0

Answer

1

Answer

Undefined

Answer

2

Question 24

Determine the equation of the line perpendicular to y = -2x + 3 and passing through the point (1, 2).

Accepted Answer

y = -1/2x + 3/2

Answer

y = 2x + 1

Answer

y = x + 1

Answer

y = -2x + 4

Question 25

Which point is in Quadrant II?

Accepted Answer

(-4, 5)

Answer

(2, 3)

Answer

(6, -7)

Answer

(0, 0)

Question 26

What is the equation of the y-axis?

Accepted Answer

y = 0

Answer

x = 0

Answer

x + y = 0

Answer

y = x

Question 27

What is the midpoint of the line segment connecting the points (3, -2) and (-1, 6)?

Accepted Answer

(1, 4)

Answer

(2, 2)

Answer

(0, 0)

Answer

(-2, -2)

Question 28

Which transformation maps the point (2, 5) to (-2, 5)?

Accepted Answer

Reflection over y-axis

Answer

4 units left

Answer

180-degree rotation about the origin

Answer

Dilation with a -1 scale factor

Question 29

Find the slope of the line represented by the equation y = -2x + 5.

Accepted Answer

-2

Answer

2

Answer

-5

Answer

5

Question 30

Find the equation of the line parallel to the x-axis and passing through the point (2, 5).

Accepted Answer

y = 2

Answer

y = 5

Answer

x = 2

Answer

x = 5

Question 31

Calculate the midpoint of the line segment joining the points (4, 7) and (8, 11).

Accepted Answer

(6, 9)

Answer

(12, 18)

Answer

(2, 3)

Answer

(10, 15)

Question 32

Calculate the distance between points (2, 4) and (-2, 6):

Accepted Answer

8 units

Answer

2 units

Answer

4 units

Answer

16 units

Question 33

Determine the equation of the line passing through points (1, 2) and (3, 6):

Accepted Answer

y = x + 2

Answer

y = x + 1

Answer

y = 2x

Answer

y = 3x

Question 34

Find the slope of the line perpendicular to the line y = 2x + 1:

Accepted Answer

-1/2

Answer

1/2

Answer

2

Answer

-2

Question 35

Which transformation shifts the graph of y = x rightward by 2 units?

Accepted Answer

Translation: (2, 0)

Answer

Translation: (-2, 0)

Answer

Reflection: x-axis

Answer

Reflection: y-axis

Question 36

Determine the domain of the function f(x) = sqrt(x - 3):

Accepted Answer

x ≥ 3

Answer

x ≤ 3

Answer

x > 3

Answer

x < 3

Question 37

Which of the following ordered pairs represents point A located at (-3, 2) on the coordinate plane?

Accepted Answer

(-3, 2)

Answer

(3, 2)

Answer

(-3, -2)

Answer

(3, -2)

Question 38

The distance between two points (x1, y1) and (x2, y2) is calculated using which formula?

Accepted Answer

Distance = √[(x1 - x2)² + (y1 - y2)²]

Answer

Distance = (x1 - x2) + (y1 + y2)

Answer

Distance = (x1 + x2) / (y1 + y2)

Answer

Distance = (y1 - y2) - (x1 + x2)

Question 39

Which of the following graphs represents the equation y = 2x + 1?

Accepted Answer

A line passing through the origin with a slope of 2

Answer

A parabola opening upwards

Answer

A circle with a radius of 1

Answer

An ellipse with major axis along the y-axis

Question 40

The midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by which coordinates?

Accepted Answer

((x1 + x2) / 2, (y1 + y2) / 2)

Answer

((x1 - x2) / 2, (y1 + y2) / 2)

Answer

((x1 + x2) / 2, (y1 - y2) / 2)

Answer

((x1 - x2) / 2, (y1 - y2) / 2)

Question 41

Which of the following equations represents a horizontal line passing through the point (3, 2)?

Accepted Answer

y = 2

Answer

y = 3

Answer

x = 2

Answer

x = 3

Question 42

Which of the following inequalities represents the shaded region below the line y = 2?

Accepted Answer

y < 2

Answer

y ≥ 2

Answer

y > 2

Answer

y = 2

Question 43

What is the area of a rectangle with vertices at (0, 0), (3, 0), (3, 4), and (0, 4)?

Accepted Answer

12

Answer

6

Answer

18

Question 44

What are the coordinates of the point that is 3 units right of the origin and 5 units up?

Accepted Answer

(3, 5)

Answer

(5, 3)

Answer

(3, -5)

Answer

(-3, 5)

Question 45

Which equation represents a horizontal line going through the point (3, 2)?

Accepted Answer

y = 2

Answer

x = 2

Answer

x = 3

Answer

y = 3

Question 46

What is the slope of the line that goes through the points (-2, 5) and (3, 1)?

Accepted Answer

-4/5

Answer

-5/2

Answer

2/5

Answer

5/2

Question 47

Which line is parallel to the y-axis?

Accepted Answer

x = 4

Answer

y = 2x

Answer

y = -x + 3

Answer

y = 0

Question 48

What is the x-intercept of the line y = 3x + 2?

Accepted Answer

-2/3

Answer

3/2

Answer

2/3

Answer

-3/2

Question 49

Which point is a solution to the inequality y < 2x?

Accepted Answer

(1, 0)

Answer

(3, 0)

Answer

(0, 3)

Answer

(2, 3)

Question 50

What is the equation of the line that goes through the point (2, -1) and has a slope of -3?

Accepted Answer

y = -3x + 5

Answer

y = 3x + 5

Answer

y = -3x - 5

Answer

y = 3x - 5

Question 51

Which transformation moves the point (3, 2) 4 units to the right and 2 units down?

Accepted Answer

(x + 4, y - 2)

Answer

(x - 2, y + 4)

Answer

(x - 4, y - 2)

Answer

(x + 2, y - 4)

Question 52

What is the area of a rectangle with corners at (0, 0), (5, 0), (5, 3), and (0, 3)?

Accepted Answer

15

Answer

20

Answer

10

Answer

25