(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

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter6: Circles

Section6.1: Circles And Related Segments And Angles

Problem 28E: A wheel has equally spaced lug bolts. What is the measure of the central angle determined by two...

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