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
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
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://staging-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=AKIAXQCCIHWF37H2AMFB%2F20240703%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240703T073558Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=1aaad134e28cdba5e92bf25003f45b0b31224cccdb2c9937a016f36a6a59ae1b)
- 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
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 3
These triangles are scaled copies of each other.
![Four right triangles labeled F, B, G, and H.](https://staging-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=AKIAXQCCIHWF37H2AMFB%2F20240703%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240703T073558Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=85a8179e6e98cf8e6344db2c41758242dfbba685325f8689c4477b498d8097d9)
For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first?
-
Triangle G and Triangle F
-
Triangle G and Triangle B
-
Triangle B and Triangle F
-
Triangle F and Triangle H
-
Triangle G and Triangle H
-
Triangle H and Triangle B
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(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://staging-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=AKIAXQCCIHWF37H2AMFB%2F20240703%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240703T073558Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=163ff0396a101adec7a0149f3290c15ba118b461475c75b771f11cc2b5931025)
- 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
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 1, Lesson 3.)