Coordinate plane

Coordinate Geometry Quiz

Created by: MR/Nasef.N

Graphing on the Coordinate Plane

1. In which quadrant is the point \((-3, 4)\) located?

A) Quadrant I

B) Quadrant II

C) Quadrant III

D) Quadrant IV

2. What are the coordinates of the point that is the reflection of \((5, -2)\) over the x-axis?

A) \((-5, -2)\)

B) \((-5, 2)\)

C) \((5, 2)\)

D) \((2, 5)\)

3. Which of the following points lies on the y-axis?

A) \((3, 4)\)

B) \((-2, -5)\)

C) \((0, 7)\)

D) \((1, 1)\)

4. When a point \((x, y)\) is reflected over the y-axis, what are the coordinates of the reflected point?

A) \((-x, y)\)

B) \((x, -y)\)

C) \((-x, -y)\)

D) \((y, x)\)

5. Which quadrant contains only points with positive x and negative y coordinates?

A) Quadrant I

B) Quadrant II

C) Quadrant III

D) Quadrant IV

6. What is the reflection of the point \((0, -6)\) over the x-axis?

A) \((0, 6)\)

B) \((0, -6)\)

C) \((-6, 0)\)

D) \((6, 0)\)

7. If point A is at \((4, -3)\) and point B is its reflection over the y-axis, what are the coordinates of point B?

A) \((4, 3)\)

B) \((-4, -3)\)

C) \((-4, 3)\)

D) \((3, -4)\)

8. Which of the following points is in Quadrant III?

A) \((2, 5)\)

B) \((-3, 4)\)

C) \((-5, -2)\)

D) \((1, -6)\)

9. What is the distance between \((3, 0)\) and \((-2, 0)\) on the coordinate plane?

A) 1 unit

B) 5 units

C) 0 units

D) -5 units

10. If a point is reflected first over the x-axis and then over the y-axis, what is the equivalent single transformation?

A) Rotation of 90°

B) Rotation of 180°

C) Translation

D) Dilation

11. Which ordered pair represents a point that is 3 units to the left of the y-axis and 4 units above the x-axis?

A) \((3, 4)\)

B) \((-3, 4)\)

C) \((3, -4)\)

D) \((-3, -4)\)

12. What is true about any point on the x-axis?

A) Its x-coordinate is 0

B) Its y-coordinate is 0

C) Both coordinates are 0

D) Both coordinates are equal

13. After reflecting \((7, -2)\) over the x-axis and then over the y-axis, the final coordinates are:

A) \((-7, 2)\)

B) \((7, 2)\)

C) \((-7, -2)\)

D) \((2, -7)\)

14. Which transformation changes \((x, y)\) to \((x, -y)\)?

A) Reflection over the x-axis

B) Reflection over the y-axis

C) Rotation of 90°

D) Translation

15. The point \((0, 0)\) is called:

A) The origin

B) The vertex

C) The intersection

D) The midpoint

16. Which ordered pair is closest to the origin?

A) \((5, 0)\)

B) \((3, 4)\)

C) \((1, 1)\)

D) \((0, 6)\)

17. If you reflect \((a, b)\) over both axes (in any order), the final position is:

A) \((-a, -b)\)

B) \((a, -b)\)

C) \((-a, b)\)

D) \((b, a)\)

18. Which point is not in Quadrant I?

A) \((0.5, 3)\)

B) \((2, 5)\)

C) \((0, 4)\)

D) \((1, 1)\)

19. The reflection of \((-2, -5)\) over the y-axis is:

A) \((-2, 5)\)

B) \((2, -5)\)

C) \((2, 5)\)

D) \((5, -2)\)

20. Which statement about the point \((0, -3)\) is correct?

A) It's in Quadrant III

B) It's on the negative y-axis

C) Its reflection over the x-axis is \((0, 3)\)

D) Both B and C are correct

Essay Questions (Graphing Required)

1. Plot and label the following points on a coordinate plane: \(A(2, 3)\), \(B(-4, 1)\), \(C(0, -5)\), and \(D(-3, -2)\). Identify the quadrant (or axis) for each point.

2. Draw the reflection of triangle \(PQR\) with vertices \(P(1, 4)\), \(Q(3, 1)\), and \(R(5, 4)\) over the x-axis. Label the reflected vertices \(P'\), \(Q'\), and \(R'\).

3. Graph the quadrilateral with vertices at \((-2, 3)\), \((1, 5)\), \((4, 3)\), and \((1, 1)\). Then reflect it over the y-axis and draw the image.

Created by: MR/Nasef.N