Exploring Transformations: Moving Mr. Clown

Mark Cloud, Nov 8, 2020

A quick look at reflections, translations, rotations, the rigid transformations.

Table of Contents

  1. Introduction
    1. Transformations
  2. Translation
    1. The Translation of Mr. Clown
    2. What did you learn about translations?
  3. Reflection
    1. Reflecting Mr. Clown
    2. What did you learn about reflection?
  4. Rotation
    1. Rotating Mr. Clown
    2. What did you learn about rotations?
  5. Conclusion
    1. Notes

1.

Introduction

  • 1. Transformations

1.1.

Transformations

In this lesson you will explore how we can move geometric objects around. [br][br]We will look at three ways of moving.[br][br]1. Translation[br]2. Reflection[br]3. Rotation[br][br]The moving of the shape from one place to another is called [b]Transformation[/b]. The three transformations we will study today do NOT change the size or shape of the object that is being [b]transformed. [br][br][/b]Start exploring with [b]Translation [/b]on the next page
– Mark Cloud

2.

Translation

  • 1. The Translation of Mr. Clown
  • 2. What did you learn about translations?

2.1.

The Translation of Mr. Clown

Change the values of h and k by moving the sliders. What do you notice?
What do you notice?
What happens when you increase the value of h? What happens when you decrease the value of h?
What happens when you increase the value of k? What happens when you decrease the value of k?
How can you make Mr. Clown move on a diagonal path?
– Mark Cloud

2.2.

–

3.

Reflection

  • 1. Reflecting Mr. Clown
  • 2. What did you learn about reflection?

3.1.

Reflecting Mr. Clown

Click the check boxes to see how Mr. Clown reflects across different lines.
What happens when you reflect across the x-axis? the y-axis? some other line?
– Mark Cloud

3.2.

–

4.

Rotation

  • 1. Rotating Mr. Clown
  • 2. What did you learn about rotations?

4.1.

Rotating Mr. Clown

Pick a point to rotate around. Adjust the Degrees of rotation with the slider.
What happens when you increase the angle of rotation?
What happens when you decrease the angle of rotation?
– Mark Cloud

4.2.

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5.

Conclusion

  • 1. Notes

5.1.

Notes

When we perform a [b]transformation [/b]on an object, every point in the original object gets a partner point in the second object. [br][br]The original object we call the [b]pre-image[/b].[br]The new object we call the [b]image[/b].[br][br]To help us know which points are partners we use very similar names. We use a capital letter for the point in the pre-image and the SAME capital letter with a [b]' [/b]mark for the point in the image. [br][br]For example if [b]A[/b] ([i]read as "point A") [/i]is in the pre-image, then [b]A' [/b][i](read as "point A prime") [/i]will be its partner in the image.
– Mark Cloud

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