Lesson 3
Making Scaled Copies
Problem 1
Here are 3 polygons.
![Three polygons labeled A, B, and C.](https://cms-im.s3.amazonaws.com/zChmeosYtzQiidi6BJ47nymg?response-content-disposition=inline%3B%20filename%3D%227-7.1.A.PP.Image.25.png%22%3B%20filename%2A%3DUTF-8%27%277-7.1.A.PP.Image.25.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240703%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240703T035242Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=ea90208c234bd6c90ddb7dc67661801168dd4a57092dea6e2c5b078576e8b052)
Draw a scaled copy of Polygon A using a scale factor of 2.
Draw a scaled copy of Polygon B using a scale factor of \(\frac{1}{2}\).
Draw a scaled copy of Polygon C using a scale factor of \(\frac{3}{2}\).
Solution
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Problem 2
Quadrilateral A has side lengths 6, 9, 9, and 12. Quadrilateral B is a scaled copy of Quadrilateral A, with its shortest side of length 2. What is the perimeter of Quadrilateral B?
Solution
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Problem 3
Here is a polygon on a grid.
![An L shaped figure on a square grid.](https://cms-im.s3.amazonaws.com/4MRdmNAfY9dY3JRsndUDss4W?response-content-disposition=inline%3B%20filename%3D%227-7.1.A.PP.Image.32.png%22%3B%20filename%2A%3DUTF-8%27%277-7.1.A.PP.Image.32.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240703%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240703T035242Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=b15c2048060224c385d988ab908fabc2c0b352aba4ca2e7d860bcbae378ea0e5)
Draw a scaled copy of this polygon that has a perimeter of 30 units. What is the scale factor? Explain how you know.
Solution
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Problem 4
Priya and Tyler are discussing the figures shown below. Priya thinks that B, C, and D are scaled copies of A. Tyler says B and D are scaled copies of A. Do you agree with Priya, or do you agree with Tyler? Explain your reasoning.
![Four shapes that look like plus signs labeled A,B,C,D on a grid.](https://cms-im.s3.amazonaws.com/3tSTpS3g7cejVodeUissipAW?response-content-disposition=inline%3B%20filename%3D%227-7.1.A.PP.Image.04.png%22%3B%20filename%2A%3DUTF-8%27%277-7.1.A.PP.Image.04.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240703%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240703T035242Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=2de5860c33e620c4c794fb343424256f2bebf0538a172d8fb713e9eb936f739e)
Solution
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(From Unit 1, Lesson 1.)