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(a) Use a ruler and compass (a piece of string attached to a pencil is fine) to help you draw a triangle that has one side of length 5 inches, one side of length 3.5 inches, and one side of length 4 inches. Explain why your method of construction must produce a triangle with the required side lengths. (b) Create two different rhombuses, both of which have 4 sides of length 4 inches. You may create your rhombuses by drawing, by folding and cutting paper, or by fastening objects together. In each case, explain how you know your shape really is a rhombus. You should include a picture of your rhombuses when you upload your work to Gradescope, if you haven't drawn them with your other work.

(a) Use a ruler and compass (a piece of string attached to a pencil is fine) to help you draw a triangle that has one side of length 5 inches, one side of length 3.5 inches, and one side of length 4 inches. Explain why your method of construction must produce a triangle with the required side lengths. (b) Create two different rhombuses, both of which have 4 sides of length 4 inches. You may create your rhombuses by drawing, by folding and cutting paper, or by fastening objects together. In each case, explain how you know your shape really is a rhombus. You should include a picture of your rhombuses when you upload your work to Gradescope, if you haven't drawn them with your other work.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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(a) Use a ruler and compass (a piece of string attached to a pencil is fine) to help you draw a triangle that has one side of length 5 inches, one side of length 3.5 inches, and one side of length 4 inches. Explain why your method of construction must produce a triangle with the required side lengths. (b) Create two different rhombuses, both of which have 4 sides of length 4 inches. You may create your rhombuses by drawing, by folding and cutting paper, or by fastening objects together. In each case, explain how you know your shape really is a rhombus. You should include a picture of your rhombuses when you upload your work to Gradescope, if you haven't drawn them with your other work.
Transcribed Image Text:(a) Use a ruler and compass (a piece of string attached to a pencil is fine) to help you draw a triangle that has one side of length 5 inches, one side of length 3.5 inches, and one side of length 4 inches. Explain why your method of construction must produce a triangle with the required side lengths. (b) Create two different rhombuses, both of which have 4 sides of length 4 inches. You may create your rhombuses by drawing, by folding and cutting paper, or by fastening objects together. In each case, explain how you know your shape really is a rhombus. You should include a picture of your rhombuses when you upload your work to Gradescope, if you haven't drawn them with your other work.
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