Lesson 5
Creating Scale Drawings
Problem 1
An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide.
- What scale is being used for the image?
- How tall is the actual book?
Solution
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Problem 2
The flag of Colombia is a rectangle that is 6 ft long with three horizontal strips.
![A rectangular figure that represents a flag.](https://cms-im.s3.amazonaws.com/7my1MpxT7mCQZzBVxkShGkhx?response-content-disposition=inline%3B%20filename%3D%227-7.1.B.PP.Image.09.png%22%3B%20filename%2A%3DUTF-8%27%277-7.1.B.PP.Image.09.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T001912Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=159865352f4ebdd28291c706a9d5e3b35ecb1cfe159a19b90b9826861d603bf7)
- The top stripe is 2 ft tall and is yellow.
- The middle stripe is 1 ft tall and is blue.
- The bottom stripe is also 1 ft tall and is red.
-
Create a scale drawing of the Colombian flag with a scale of 1 cm to 2 ft.
- Create a scale drawing of the Colombian flag with a scale of 2 cm to 1 ft.
Solution
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Problem 3
Here is an unlabeled rectangle, followed by other quadrilaterals that are labeled.
![A rectangle. 8 other quadrilaterals labeled A,B,C,D,E,F,G,H.](https://cms-im.s3.amazonaws.com/y7M6hCuqMNvVChzeW3ZvCBrv?response-content-disposition=inline%3B%20filename%3D%227-7.1.A.PP.Image.10.png%22%3B%20filename%2A%3DUTF-8%27%277-7.1.A.PP.Image.10.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T001912Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=1cf140299779560e289c4533113519dfc30a08bfdaea9808ec0251fb7b6813fb)
- Select all quadrilaterals that are scaled copies of the unlabeled rectangle. Explain how you know.
- On graph paper, draw a different scaled version of the original rectangle.
Solution
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(From Unit 2, Lesson 2.)Problem 4
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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(From Unit 1, Lesson 3.)