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Grade 10 Transformations on the Coordinate Plane Worksheet with Answers

Grade 10 (US) · Year 11 (UK) · Class 10 (India) · Math

Unit 2: Lines, Angles & TransformationsTransformationsCCSS G-CO.A.5

Translating, reflecting, rotating and dilating points on the coordinate plane. This free high 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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Transformations on the Coordinate Plane

Grade 10 · Math

Score___ / 12

Name

Class

Date

Learning goal: Transformations · CCSS G-CO.A.5

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

Example

Translate (7, -3) by 5 units left and 3 units up. What is the image?

Answer: (2, 0)

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

    Reflect (-4, -3) across the x-axis. What is the image?

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

    Rotate (-6, -5) 180° about the origin. What is the image?

    -10-10-5-5551010xyA
    Answer
  3. 3

    Translate (-7, -2) by 4 units left and 5 units up. What is the image?

    -10-10-5-5551010xyA
    Answer
  4. 4

    Dilate (4, -7) by a scale factor of 3 centered at the origin. What is the image?

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

    Reflect (-6, 7) across the y-axis. What is the image?

    -10-10-5-5551010xyA
    Answer
  6. 6

    Rotate (-8, -6) 180° about the origin. What is the image?

    -10-10-5-5551010xyA
    Answer
  7. 7

    Translate (-4, 8) by 2 units right and 1 unit up. What is the image?

    -10-10-5-5551010xyA
    Answer
  8. 8

    Dilate (8, -3) by a scale factor of 3 centered at the origin. What is the image?

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

    Rotate (3, -7) 180° about the origin. What is the image?

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

    Translate (7, -5) by 1 unit left and 3 units down. What is the image?

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

    Rotate (-1, -8) 180° about the origin. What is the image?

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

    Translate (8, -2) by 3 units right and 6 units up. What is the image?

    -10-10-5-5551010xyA
    Answer

★ Challenge corner for fast finishers

On a grid, you walk from the bottom-left corner to a point 4 blocks right and 2 blocks up, moving only right or up. How many different shortest paths are there?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/10/transformations

Answer key (click to show)
  1. 1.(-4, 3)
  2. 2.(6, 5)
  3. 3.(-11, 3)
  4. 4.(12, -21)
  5. 5.(6, 7)
  6. 6.(8, 6)
  7. 7.(-2, 9)
  8. 8.(24, -9)
  9. 9.(-3, 7)
  10. 10.(6, -8)
  11. 11.(1, 8)
  12. 12.(11, 4)
  13. ★15 (challenge corner)

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