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GeoGebraGeoGebra Classroom

Geometry Chapter 3 Lab

Click on a check box to explore the given transformation. Click on more than one to compare transformations.

Before you get started ....

Play with the checkboxes and drag some things around for 1-2 minutes. When finished, click on the "Reset" icon in the upper right corner to continue
PART 1: REFLECTIONS Click on Reflection #1 and answer the questions below

Describe what is happening with the current reflection around

Move the purple line to x=5 and answer the following three questions

How is this reflection different from the one above?

What are the coordinates of ? How is this related to the location of ?

What are the coordinates of ? How is this related to the coordinates of ?

General question about reflections

When you reflect an object, does the size and shape always remain the same?

PART 2: TRANSLATIONS 1) Click the RESET Icon in the upper right corner 2) Make sure only "Translation" is clicked 3) Drag the red arrow to the point

What are the coordinates of ? How is this related to the coordinates of ? 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?

Do translations preserve the size and shape of the original object?

PART 3: DILATION 1) Click the RESET Icon in the upper right corner 2) Make sure only "Dilation" is clicked 3) Drag the slider to "dilate = -1.5"

How is the new reflected figure related to the pre-image (original image before reflection)

Change the dilation to positive 0.5. Also drag the green origin to (7, -4). Then answer the following three questions.

How is this different than the previous image? How is it the same?

How does the 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?

PART 4: ROTATION 1) Click the RESET Icon in the upper right corner 2) Make sure only "Rotation" is clicked

Move the slider to the left and to the right. What happened?

Change the green origin to . Move the slider to the right and to the left. What happened?

Do all rotations preserve the shape and size of the pre-image?

LAST QUESTION

What is something you learned in this activity?