Lesson 4
Making the Moves
Problem 1
For each pair of polygons, describe a sequence of translations, rotations, and reflections that takes Polygon P to Polygon Q.
Solution
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Problem 2
Here is quadrilateral \(ABCD\) and line \(\ell\).
![Quadrilateral \(A \) \(B\) \(C\) \(D\) and dashed line \(l\) with a positive slope. \(B\) \(C\) is parallel to line \(l\).](https://cms-im.s3.amazonaws.com/w69G4VaZ4wDGKq6Tb8dqthc2?response-content-disposition=inline%3B%20filename%3D%228-8.1.A2.newPP.04.png%22%3B%20filename%2A%3DUTF-8%27%278-8.1.A2.newPP.04.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T171542Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=029391fef3cd55ded62aa3fa2a64c13e8a787a93fcccc9c798bbcf5f071e0741)
Draw the image of quadrilateral \(ABCD\) after reflecting it across line \(\ell\).
Solution
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(From Unit 1, Lesson 2.)Problem 3
Here is quadrilateral \(ABCD\).
![Quadrilateral A B C D. A B, A D and D C all have negative slopes. B C has a positive slope. A B C D has no parallel sides and no right angles.](https://cms-im.s3.amazonaws.com/awLCEPgA3sFPyMqxd2UeEmxz?response-content-disposition=inline%3B%20filename%3D%228-8.1.A2.newPP.02.png%22%3B%20filename%2A%3DUTF-8%27%278-8.1.A2.newPP.02.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T171542Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=cda3bdd777d5094da85971af3d91319531a23987442633cbc7892368cff6ba34)
Draw the image of quadrilateral \(ABCD\) after each rotation using \(B\) as center.
- 90 degrees clockwise
- 120 degrees clockwise
- 30 degrees counterclockwise
Solution
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(From Unit 1, Lesson 2.)