Transformations

Harmony Richman, Jan 21, 2026

Transformations

Table of Contents

  1. Introduction
    1. I see... I think ... I wonder ...
  2. Translations
    1. Exploring Translations 1
    2. Exploring Translations 2
    3. Exploring Translations 3
    4. Exploring Translations 4
    5. Exploring Translations 5
    6. Exploring Translations 6
    7. Exploring Translations 7
    8. Exploring Translations 8
  3. Reflections
    1. Exploring Reflections 1
    2. Exploring Reflections 2
    3. Exploring Reflections 3
    4. Exploring Reflections 4
    5. Exploring Reflections 5
    6. Exploring Reflections 6
    7. Exploring Reflections 7
    8. Exploring Reflections 8
  4. Rotations
    1. Exploring Rotations 1
    2. Exploring Rotations 2
    3. Exploring Rotations 3
    4. Exploring Rotations 4
    5. Exploring Rotations 5
    6. Exploring Rotations 6
    7. Exploring Rotations 7
    8. Exploring Rotations 8
  5. Dilations
    1. Exploring Dilations 1
    2. Exploring Dilation 2
    3. Exploring Dilation 3
    4. Exploring Dilation 4
    5. Exploring Dilation 5

1.

Introduction

  • 1. I see... I think ... I wonder ...

1.1.

I see... I think ... I wonder ...

ND State Standards:[br][br]8.GM.GF.1 Perform single transformations to a figure on the coordinate plane and determine whether the figures are congruent or similar.[br][br]8.GM.GF.2 Describe the characteristics of transformations on the coordinate plane using transformation language.[br][br]8.GM.GF.3 Name the type of transformation(s) needed to map a pre-image to its image.
I see...
I think ...
I wonder ...
– Harmony Richman

2.

Translations

  • 1. Exploring Translations 1
  • 2. Exploring Translations 2
  • 3. Exploring Translations 3
  • 4. Exploring Translations 4
  • 5. Exploring Translations 5
  • 6. Exploring Translations 6
  • 7. Exploring Translations 7
  • 8. Exploring Translations 8

2.1.

Exploring Translations 1

Plot points A, B, and C[br]A = (-2,3)[br]B = (-4, -1)[br]C = (2, -2)[br]Insert new points A', B', and C' which are A, B, and C translated 2 units to the right.[br]You should have 6 points graphed below.
What observations can you make about the coordinates?
– Harmony Richman

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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2.7.

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2.8.

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3.

Reflections

  • 1. Exploring Reflections 1
  • 2. Exploring Reflections 2
  • 3. Exploring Reflections 3
  • 4. Exploring Reflections 4
  • 5. Exploring Reflections 5
  • 6. Exploring Reflections 6
  • 7. Exploring Reflections 7
  • 8. Exploring Reflections 8

3.1.

Exploring Reflections 1

Plot point A (4, -3)[br]Reflect A over the x-axis[br]Reflect A over the y-axis[br]Input the line y = x[br]Reflect A over the the line y = x
What observations can you make about the coordinates?
– Harmony Richman

3.2.

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3.3.

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3.4.

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3.5.

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3.6.

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3.7.

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3.8.

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4.

Rotations

  • 1. Exploring Rotations 1
  • 2. Exploring Rotations 2
  • 3. Exploring Rotations 3
  • 4. Exploring Rotations 4
  • 5. Exploring Rotations 5
  • 6. Exploring Rotations 6
  • 7. Exploring Rotations 7
  • 8. Exploring Rotations 8

4.1.

Exploring Rotations 1

Plot point A (4, -3)[br]Plot point B (0, 0)[br]Rotate A about B [math]90^\circ[/math], clockwise[br]Rotate A about B [math]180^\circ[/math], clockwise[br]Rotate A about B [math]270^\circ[/math], clockwise
What observations can you make about the coordinates?
– Harmony Richman

4.2.

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4.3.

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4.4.

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4.5.

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4.6.

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4.7.

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4.8.

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5.

Dilations

  • 1. Exploring Dilations 1
  • 2. Exploring Dilation 2
  • 3. Exploring Dilation 3
  • 4. Exploring Dilation 4
  • 5. Exploring Dilation 5

5.1.

Exploring Dilations 1

Plot point A (0, 0)[br]Plot point B (0, 4)[br]Plot point C (3, 0)[br]Create triangle ABC[br]Dilate triangle ABC by a scale factor of 2 using the center of dilation of A (0,0)[br]Dilate triangle ABC by a scale factor of 3 using the center of dilation of A (0,0)
What observations can you make about the coordinates?
– Harmony Richman

5.2.

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5.3.

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5.4.

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5.5.

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Information