Lesson 9
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%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T171804Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=7779aaac4facc707c65e6f82894dd7c9d73f59652d148a070615ff74d39ae0d3)
- 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.
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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
These triangles are scaled copies of each other.
![Four right triangles labeled F, B, G, and H.](https://cms-im.s3.amazonaws.com/nb6aHGzynpPsCz9Jo7ns6TZB?response-content-disposition=inline%3B%20filename%3D%227-7.1.A6.Image.12.png%22%3B%20filename%2A%3DUTF-8%27%277-7.1.A6.Image.12.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=20240630T171804Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=070a0ce19e0efcd6e720f9269c7a0c5cf66deb0eae5488f80393363805543afe)
For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first?
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Triangle G and Triangle F
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Triangle G and Triangle B
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Triangle B and Triangle F
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Triangle F and Triangle H
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Triangle G and Triangle H
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Triangle H and Triangle B
Solution
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(From Unit 1, Lesson 6.)Problem 4
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%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T171804Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=f87fe8186c9b2ac2bd6db8a58980562c367a6274fb3a144cf0853dd3b5daacaf)
- 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 1, Lesson 3.)