**Learning Targets:**

- I can use the terms translation, rotation, and reflection to precisely describe transformations.

**Related Pages**

Illustrative Math

Grade 7

Let’s draw and describe translations, rotations, and reflections.

Illustrative Math Unit 8.1, Lesson 4 (printable worksheets)

The following diagram shows how to draw and describe translations, rotations, and reflections.

Here is an incomplete image. Your teacher will flash the completed image twice. Your job is to complete the image on your copy.

Open Applet

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

Open Applet

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.)

- 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.

Open Applet

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.

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

- No rotations?
- No reflections?
- No translations?

- For each pair of polygons, describe a sequence of translations, rotations, and reflections that takes Polygon P to Polygon Q.
- Here is quadrilateral ABCD and line l. Draw the image of quadrilateral ABCD after reflecting it across line l.
- Here is quadrilateral ABCD.

Draw the image of quadrilateral ABCD after each rotation using B as center.

a. 90 degrees clockwise

b. 120 degrees clockwise

c. 30 degrees counterclockwise

The Open Up Resources math curriculum is free to download from the Open Up Resources website and is also available from Illustrative Mathematics.

Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
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