Unit 05 · Rational Numbers and CoordinatesLesson

Day 072Reflections and Coordinate Signs

LearnClassworkAnswer keyPDF packet ↗
Standards 6.NS.C.6b
LEARNING TARGET

I can reflect points across an axis using signs.

Build the idea

Across the x-axis, keep x and reverse the sign of y. Across the y-axis, reverse x and keep y. Across both axes, reverse both signs. The reflected point stays the same distance from the axis.

WORKED EXAMPLE 1

Plot (-7, -3), reflect it across y-axis, and give the reflected coordinates.

(7, -3)

Reverse the x sign: (7, -3).

WORKED EXAMPLE 2

Plot (-4, -7), reflect it across both axes, and give the reflected coordinates.

(4, 7)

Reverse both signs: (4, 7).

Your turn

Work in order. Start with the foundations, then build toward explanation and application.

  1. Plot (-8, 6), reflect it across x-axis, and give the reflected coordinates.

  2. Plot (-2, -5), reflect it across y-axis, and give the reflected coordinates.

  3. Plot (-5, 6), reflect it across x-axis, and give the reflected coordinates.

  4. Plot (-4, -2), reflect it across y-axis, and give the reflected coordinates.

  5. Plot (-7, 4), reflect it across x-axis, and give the reflected coordinates.

  6. Plot (-2, -7), reflect it across y-axis, and give the reflected coordinates.

  7. Plot (-2, 3), reflect it across both axes, and give the reflected coordinates.

  8. Plot (-7, -3), reflect it across both axes, and give the reflected coordinates.

  9. Plot (-6, 2), reflect it across both axes, and give the reflected coordinates.

  10. Plot (-8, -7), reflect it across both axes, and give the reflected coordinates.

Answers and reasoning

Reveal the teacher answer key
  1. (-8, -6)

    Reverse the y sign: (-8, -6).

  2. (2, -5)

    Reverse the x sign: (2, -5).

  3. (-5, -6)

    Reverse the y sign: (-5, -6).

  4. (4, -2)

    Reverse the x sign: (4, -2).

  5. (-7, -4)

    Reverse the y sign: (-7, -4).

  6. (2, -7)

    Reverse the x sign: (2, -7).

  7. (2, -3)

    Reverse both signs: (2, -3).

  8. (7, 3)

    Reverse both signs: (7, 3).

  9. (6, -2)

    Reverse both signs: (6, -2).

  10. (8, 7)

    Reverse both signs: (8, 7).

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