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.

4. 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

Translate (1, 5) by the rule (x,y)→(x+3,y−2)(x,y)\to(x+3,y-2)

Please select an answer first.

Correct answer: A

The correct answer is (4, 3).

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: Add 3 to x and subtract 2 from y: (1 + 3, 5 - 2) = (4, 3).
  3. Check the position or measurement: The correct choice is (4, 3).

Add 3 to x and subtract 2 from y: (1 + 3, 5 - 2) = (4, 3).

2. QuestionMultiple choice

Reflect (2, -3) across the x-axis.

Please select an answer first.

Correct answer: B

The correct answer is (2, 3).

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: Reflection across the x-axis changes the sign of y only.
  3. Check the position or measurement: The correct choice is (2, 3).

Reflection across the x-axis changes the sign of y only.

3. QuestionMultiple choice

Reflect (-4, 1) across the y-axis.

Please select an answer first.

Correct answer: C

The correct answer is (4, 1).

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: Reflection across the y-axis changes the sign of x only.
  3. Check the position or measurement: The correct choice is (4, 1).

Reflection across the y-axis changes the sign of x only.

4. QuestionMultiple choice

Rotate (2, 3) by 90 degrees counterclockwise about the origin.

Please select an answer first.

Correct answer: D

The correct answer is (-3, 2).

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: A 90-degree counterclockwise rotation maps (x, y) to (-y, x).
  3. Check the position or measurement: The correct choice is (-3, 2).

A 90-degree counterclockwise rotation maps (x, y) to (-y, x).

5. QuestionMultiple choice

What measurement is preserved by a translation?

Please select an answer first.

Correct answer: A

The correct answer is Distance and angle measure..

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: A translation is a rigid transformation, so lengths, angles, area, and shape are preserved.
  3. Check the position or measurement: The correct choice is Distance and angle measure..

A translation is a rigid transformation, so lengths, angles, area, and shape are preserved.

6. QuestionMultiple choice

Which transformation is rigid?

Please select an answer first.

Correct answer: B

The correct answer is A reflection..

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: Reflections preserve distance and angle measures, while dilations and stretches generally change size.
  3. Check the position or measurement: The correct choice is A reflection..

Reflections preserve distance and angle measures, while dilations and stretches generally change size.

7. QuestionMultiple choice

Dilate (3, -1) from the origin by scale factor 2.

Please select an answer first.

Correct answer: C

The correct answer is (6, -2).

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: Multiply both coordinates by 2: (2 × 3, 2 × -1) = (6, -2).
  3. Check the position or measurement: The correct choice is (6, -2).

Multiply both coordinates by 2: (2 × 3, 2 × -1) = (6, -2).

8. QuestionMultiple choice

A segment of length 4 is dilated by scale factor 3. What is the new length?

Please select an answer first.

Correct answer: D

The correct answer is 12.

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: Lengths are multiplied by the scale factor: 4 × 3 = 12.
  3. Check the position or measurement: The correct choice is 12.

Lengths are multiplied by the scale factor: 4 × 3 = 12.

9. QuestionMultiple choice

A figure is dilated by scale factor 2. By what factor does its area change?

Please select an answer first.

Correct answer: A

The correct answer is 4.

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: Area scales by the square of the scale factor: 2 squared = 4.
  3. Check the position or measurement: The correct choice is 4.

Area scales by the square of the scale factor: 2 squared = 4.

10. QuestionMultiple choice

What is the area of the triangle with vertices (0, 0), (4, 0), and (0, 3)?

Please select an answer first.

Correct answer: B

The correct answer is 6 square units.

  1. Identify the coordinate information: Determine the points, quadrant, slope, distance, midpoint, transformation, or geometric model involved.
  2. Apply the coordinate rule: The base is 4 and height is 3, so area = 4 × 3 / 2 = 6.
  3. Check the position or measurement: The correct choice is 6 square units.

The base is 4 and height is 3, so area = 4 × 3 / 2 = 6.