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Grade 6 Coordinate Plane (Four Quadrants) Worksheet with Answers

Grade 6 (US) · Year 7 (UK) · Class 6 (India) · Math

Unit 2: The Number SystemRational NumbersCCSS 6.NS.C.8

Naming quadrants, reflecting points across the axes and finding distances between points with a shared coordinate. This free middle school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Coordinate Plane (Four Quadrants)

Grade 6 · Math

Score___ / 12

Name

Class

Date

Learning goal: Rational Numbers · CCSS 6.NS.C.8

Directions: Use the pictures to help you. Solve each problem. Show your work, then write your answer in the box.

Example

In which quadrant is the point (-7, -7)?

Answer: Quadrant III

RememberThe coordinate plane

II(−, +)I(+, +)III(−, −)IV(+, −)Quadrants are numbered anticlockwise from I.Reflect over the x-axis: (x, y) → (x, −y)Reflect over the y-axis: (x, y) → (−x, y)Translate: add to x (right) and y (up)
  1. 1

    In which quadrant is the point (9, -8)?

    -10-10-5-5551010xyA
    Answer
  2. 2

    How far apart are (-3, -4) and (2, -4)?

    -10-10-5-5551010xyAB
    Answer
  3. 3

    How far apart are (-5, -9) and (9, -9)?

    -10-10-5-5551010xyAB
    Answer
  4. 4

    How far apart are (3, 5) and (-6, 5)?

    -10-10-5-5551010xyAB
    Answer
  5. 5

    Reflect (2, 9) across the y-axis. What are the new coordinates?

    0224466881010xyA
    Answer
  6. 6

    How far apart are (4, 7) and (-1, 7)?

    -10-10-5-5551010xyAB
    Answer
  7. 7

    How far apart are (-3, 5) and (-5, 5)?

    -10-10-5-5551010xyAB
    Answer
  8. 8

    Reflect (9, -7) across the y-axis. What are the new coordinates?

    -10-10-5-5551010xyA
    Answer
  9. 9

    In which quadrant is the point (-1, 8)?

    -10-10-5-5551010xyA
    Answer
  10. 10

    Reflect (-2, 9) across the y-axis. What are the new coordinates?

    -10-10-5-5551010xyA
    Answer
  11. 11

    Reflect (4, -8) across the x-axis. What are the new coordinates?

    -10-10-5-5551010xyA
    Answer
  12. 12

    How far apart are (8, -5) and (0, -5)?

    -10-10-5-5551010xyAB
    Answer

★ Challenge corner for fast finishers

In a number pyramid each brick is the sum of the two bricks below it. The bottom row is 24, 4, ?, 24 and the top brick is 84. What is the missing number?

244?2484

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/6/coordinate_four_quadrants

Answer key (click to show)
  1. 1.Quadrant IV
  2. 2.5 units
  3. 3.14 units
  4. 4.9 units
  5. 5.(-2, 9)
  6. 6.5 units
  7. 7.2 units
  8. 8.(-9, -7)
  9. 9.Quadrant II
  10. 10.(2, 9)
  11. 11.(4, 8)
  12. 12.8 units
  13. ★8 (challenge corner)

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