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IM 8.1.4 Lesson: Making the Moves

Author:GeoGebra Classroom Activities, IM 6 – 8 Math

Here is an incomplete image. Your teacher will display the completed image twice, for a few seconds each time. Your job is to complete the image on your copy.

Your partner will describe the image of this triangle after a certain transformation. Sketch it here.

Here are some figures on an isometric grid. Explore the transformation tools in the tool bar.(Directions are below the applet if you need them.)

Translate

Select the Vector tool.
Click on the original point and then the new point. You should see a vector.
Select the Translate by Vector tool.
Click on the figure to translate, and then click on the vector.

Rotate

Select the Rotate around Point tool.
Click on the figure to rotate, and then click on the center point.
A dialog box will open. Type the angle by which to rotate and select the direction of rotation.

Reflect

Select the Reflect about Line tool.
Click on the figure to reflect, and then click on the line of reflection.

Name a transformation that takes Figure A to Figure B.

Name a transformation that takes Figure B to Figure C.

What is one sequence of transformations that takes Figure A to Figure C? Explain how you know.

Experiment with other ways to take Figure A to Figure C. For example, can you do it with...

No rotations?
No reflections?
No translations?

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