Lesson 9
Creating Scale Drawings
Let’s create our own 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?
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%2F20240718%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240718T011438Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=c8a46fd78153406ddd7e7d77472c1a4f18d67fa913faeb2db77298ba5aef890b)
- 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.
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%2F20240718%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240718T011438Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=de39c8097e8746c3b0f90e324848cfa257d1d5a6269cf038995449c4be24dadf)
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
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%2F20240718%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240718T011438Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=6aa10a46504a1a4fa143ad2d2cd850986afe138d6914299b03d29ac4336984b9)
- 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.