Lesson 3
Making Scaled Copies
Let’s draw 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%2F20250118%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20250118T014829Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=c212134e8c215f4a109052338d3c78106982173fd8ec2e02fb637e100eb178c7)
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 \(\frac{3}{2}\).
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?
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%2F20250118%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20250118T014829Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=0bfa2408dcbec8e8e1e2cda4528e01967750c0fa514f05e705a81c4698b56d18)
Draw a scaled copy of this polygon that has a perimeter of 30 units. What is the scale factor? Explain how you know.
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%2F20250118%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20250118T014829Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=06260467c8bfa662be9227868679dff6c2adc792359e9d9f7a093ff0aad8cc68)