Click on a check box to explore the given transformation.[br]Click on more than one to compare transformations.
Play with the checkboxes and drag some things around for 1-2 minutes. [br][br][b][size=200][size=150][color=#ff0000]When finished, click on the "Reset" icon in the upper right corner to continue[/color][/size][/size][/b]
[b][size=200]PART 1: REFLECTIONS[br][/size]Click on Reflection #1 and answer the questions below[/b]
Describe what is happening with the current reflection around [math]x=0[/math]
How is this reflection different from the one above?
What are the coordinates of [math]A'[/math] ? How is this related to the location of [math]A[/math]?
What are the coordinates of [math]C'[/math]? How is this related to the coordinates of [math]C[/math]?
When you reflect an object, does the size and shape always remain the same?
[b][size=200]PART 2: TRANSLATIONS[br][/size][/b]1) Click the RESET Icon in the upper right corner[br]2) Make sure only "Translation" is clicked[br]3) Drag the red arrow to the point [math](-2,1)[/math]
What are the coordinates of [math]F'[/math] ?[br]How is this related to the coordinates of [math]F[/math]?[br]How is this related to the red arrow on the right?
"Spam drag" the red arrow around and see what happens. What did you notice?
[b][size=200]PART 3: DILATION[br][/size][/b]1) Click the RESET Icon in the upper right corner[br]2) Make sure only "Dilation" is clicked[br]3) Drag the slider to "dilate = -1.5"
How is the new reflected figure related to the pre-image (original image before reflection)
How is this different than the previous image? How is it the same?
How does the [math]\frac{1}{2}[/math]show up in the dilation?
How did changing the origin change the dilation?
Do all dilations preserve the size and shape of the pre-image?
[b][size=200]PART 4: ROTATION[br][/size][/b]1) Click the RESET Icon in the upper right corner[br]2) Make sure only "Rotation" is clicked
Move the slider to the left and to the right. What happened?
Change the green origin to [math]\left(4,1\right)[/math]. Move the slider to the right and to the left. What happened?
Do all rotations preserve the shape and size of the pre-image?
What is something you learned in this activity?