Transformations
Transformation Discovery Book
Table of Contents
- Reflections
- Reflection Only
- Translations
- Composite of Two Reflections over Parallel Lines
- Translation Only
- Rotations
- Composite of Two Reflections over Intersecting Lines
- Rotation Only
Reflection Only
Explore what happens to a reflection on the coordinate plane.
[b]Directions: [/b][br]1. Click "Show Reflection"[br]2. Play around with the points and line of reflection (Mirror) by clicking and dragging.[br]3. Part II options should you the distance of the pre-image points to the line of reflection(Mirror) and the image points to the line of reflection(Mirror). Check the boxes to show the distances.[br]4. Part III shows the coordinates of the pre-image and the image. Check the boxes to show the coordinates.[br]5. Continue to move the points around to find patterns in the distances and coordinates from Part II and Part III.[br]6. Answer the questions below.
1.
Which of the following is a rule for a reflection over the [i]y[/i]-axis?
2.
Which of the following is a rule for a reflection over the [i]x[/i]-axis?
3.
Which of the following is a rule for a reflection over the line [i]y = x[/i]?
4.
Is a reflection an example of rigid motion?
Composite of Two Reflections over Parallel Lines
Explore what happens when you reflect twice.
[b]Directions: [/b][br]1. Click "Show Reflection #1", then "Show Reflection #2".[br]2. Play around with the points on the lines of reflection (Mirror) by clicking and dragging.[br]3. Uncheck "Show Reflection #1".[br]4. Continue to move the points around to make observations about the pre-image and the final-image shown.[br]5. Answer the questions below.
1.
What do you notice about the pre-image and the final image (Reflection #2)?
Composite of Two Reflections over Intersecting Lines
Explore what happens when you reflect twice (part 2)!
[b]Directions: [/b][br]1. Click "Show Reflection #1", then "Show Reflection #2".[br]2. Play around with the points on the lines of reflection (Mirror) by clicking and dragging.[br]3. Uncheck "Show Reflection #1".[br]4. Continue to move the points around to make observations about the pre-image and the final-image shown.[br]5. Answer the question below.
1.
Are the pre-image and the final image reflections of each other? Explain.