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Coordinate Geometry Practice Tests

These Grade 9 Math practice tests cover the coordinate plane, quadrants, axes, ordered pairs, distance, midpoint, slope, equations of lines, intercepts, parallel and perpendicular lines, reflections, rotations, translations, dilations, and coordinate-plane geometry applications.

Skills covered

  • Locating points and identifying quadrants, axes, and the origin
  • Finding distance, midpoint, slope, intercepts, and equations of lines
  • Recognizing parallel and perpendicular relationships
  • Applying translations, reflections, rotations, dilations, and scale factors
  • Using coordinates to solve perimeter, area, triangle, rectangle, and rate problems

How to use these practice tests

Read each ordered pair as (x, y), preserve positive and negative signs, choose the appropriate coordinate formula, and check the result on a graph or in the original geometric context.

For more Grade 9 Math practice, return to the Grade 9 Math category.

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2. Test

Grade 9 Coordinate Geometry Practice Tests

Practice Grade 9 Math questions about the coordinate plane, quadrants, distance, midpoint, slope, lines, transformations, dilations, and coordinate geometry applications.

Choose the best answer. Read coordinates in order, apply formulas carefully, preserve signs, and connect algebraic rules to geometric positions and measurements.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

What is the distance between (0, 0) and (3, 4)?

Please select an answer first.

Correct answer: A

The correct answer is 5.

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: Use the distance formula: sqrt(3 squared + 4 squared) = sqrt(25) = 5.
  3. Check the position or measurement: The correct choice is 5.

Use the distance formula: sqrt(3 squared + 4 squared) = sqrt(25) = 5.

2. QuestionMultiple choice

What is the distance between (-2, 5) and (4, 5)?

Please select an answer first.

Correct answer: B

The correct answer is 6.

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: The y-values are equal, so use the horizontal distance: |4 - (-2)| = 6.
  3. Check the position or measurement: The correct choice is 6.

The y-values are equal, so use the horizontal distance: |4 - (-2)| = 6.

3. QuestionMultiple choice

What is the distance between (3, -1) and (3, 7)?

Please select an answer first.

Correct answer: C

The correct answer is 8.

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: The x-values are equal, so use the vertical distance: |7 - (-1)| = 8.
  3. Check the position or measurement: The correct choice is 8.

The x-values are equal, so use the vertical distance: |7 - (-1)| = 8.

4. QuestionMultiple choice

What is the midpoint of (2, 4) and (6, 8)?

Please select an answer first.

Correct answer: D

The correct answer is (4, 6).

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: Average the coordinates: ((2 + 6)/2, (4 + 8)/2) = (4, 6).
  3. Check the position or measurement: The correct choice is (4, 6).

Average the coordinates: ((2 + 6)/2, (4 + 8)/2) = (4, 6).

5. QuestionMultiple choice

What is the midpoint of (-3, 5) and (1, 1)?

Please select an answer first.

Correct answer: A

The correct answer is (-1, 3).

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: Average x-values and y-values: ((-3 + 1)/2, (5 + 1)/2) = (-1, 3).
  3. Check the position or measurement: The correct choice is (-1, 3).

Average x-values and y-values: ((-3 + 1)/2, (5 + 1)/2) = (-1, 3).

6. QuestionMultiple choice

What is the distance between (1, 2) and (4, 6)?

Please select an answer first.

Correct answer: B

The correct answer is 5.

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: The changes are 3 horizontally and 4 vertically, so the distance is sqrt(9 + 16) = 5.
  3. Check the position or measurement: The correct choice is 5.

The changes are 3 horizontally and 4 vertically, so the distance is sqrt(9 + 16) = 5.

7. QuestionMultiple choice

What is the midpoint of (0, 0) and (8, -4)?

Please select an answer first.

Correct answer: C

The correct answer is (4, -2).

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: Average the coordinates: (8/2, -4/2) = (4, -2).
  3. Check the position or measurement: The correct choice is (4, -2).

Average the coordinates: (8/2, -4/2) = (4, -2).

8. QuestionMultiple choice

What is the distance between (-5, 2) and (2, 2)?

Please select an answer first.

Correct answer: D

The correct answer is 7.

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: The points have the same y-coordinate, so the horizontal distance is |2 - (-5)| = 7.
  3. Check the position or measurement: The correct choice is 7.

The points have the same y-coordinate, so the horizontal distance is |2 - (-5)| = 7.

9. QuestionMultiple choice

One endpoint is (1, 2) and the midpoint is (3, 4). What is the other endpoint?

Please select an answer first.

Correct answer: A

The correct answer is (5, 6).

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: The midpoint equations give (1 + x)/2 = 3 and (2 + y)/2 = 4, so the endpoint is (5, 6).
  3. Check the position or measurement: The correct choice is (5, 6).

The midpoint equations give (1 + x)/2 = 3 and (2 + y)/2 = 4, so the endpoint is (5, 6).

10. QuestionMultiple choice

What is the distance between (2, 1) and (5, 5)?

Please select an answer first.

Correct answer: B

The correct answer is 5.

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: The changes are 3 and 4, so the distance is sqrt(3 squared + 4 squared) = 5.
  3. Check the position or measurement: The correct choice is 5.

The changes are 3 and 4, so the distance is sqrt(3 squared + 4 squared) = 5.

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