Grade 6 Mathematics · Unit 7: Integers, Rational Numbers, and the Coordinate PlaneStandard 6.NOS.7

Lesson 7.97.9 · Part II

Apply Day · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target I can reflect points across the x-axis and y-axis on the coordinate plane.

Remember7.9 · Part II

Reflections Across Axes

  1. Reflection across x-axis (horizontal line): y-coordinate changes sign, x stays same
  2. Reflection across y-axis (vertical line): x-coordinate changes sign, y stays same
  3. Both coordinates change sign when reflecting across both axes: (−x, −y)

Words: Reflection (Reflexión)x-axis (Eje x)y-axis (Eje y)Symmetry (Simetría)Integer (Número entero)

  1. 1Complete each step, then write the final answer.

    Reflect (6, 4) across the x-axis. The new point is (6, ?). What is the missing y-coordinate?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.

    Reflect (−7, −2.5) across the y-axis. The new point is (?, −2.5). What is the missing x-coordinate?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.

    Point M is reflected across the x-axis. Its image is at (−6, −3). What is the y-coordinate of M?

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    Final answer:
  4. 4Complete each step, then write the final answer.

    A video game has a mirror on the x-axis. A star is at (2, −7). Its mirror star is the reflection across the x-axis. What is the y-coordinate of the mirror star?

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    Final answer:
  5. 5Complete each step, then write the final answer.

    A kite design is the same on both sides of the y-axis. One corner is at (−4, −6). What is the x-coordinate of the matching corner on the other side?

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    Final answer:
  6. 6Complete each step, then write the final answer.

    Point P is at (a, 3) in Quadrant II. Its reflection across the y-axis is 12 units from P. What is a?

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    Final answer:
  7. 7Circle the letter of the best answer. Show how you know.

    What is the reflection of (4, -3) over the x-axis?

    1. A(-4, -3)
    2. B(-4, 3)
    3. C(3, -4)
    4. D(4, 3)
    Show your work
  8. 8Circle the letter of the best answer. Show how you know.

    What is the reflection of (-2, 6) over the y-axis?

    1. A(-2, -6)
    2. B(2, 6)
    3. C(2, -6)
    4. D(6, -2)
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    Which point is on the y-axis?

    1. A(-2, 4)
    2. B(0, 5)
    3. C(3, 3)
    4. D(5, 0)
    Show your work
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help