Elementary Geometry For College Students, 7e

7th Edition

ISBN: 9781337614085

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

Publisher: Cengage,

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Textbook Question

Chapter 6.4, Problem 11E

X , Y , and Z are on circle O such that m X Y ⌢ = 120 ° , m Y Z ⌢ = 130 ° , and m X Z ⌢ = 110 ° . Suppose that triangle X Y Z is drawn and that the triangle A B C is constructed with its sides tangent to circle O at X , Y , and Z . Are △ X Y Z and △ A B C similar triangles?

Chapter 6.4, Problem 11E, X, Y, and Z are on circle O such that mXY=120, mYZ=130, and mXZ=110. Suppose that triangle XYZ is

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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Chapter 6.4, Problem 10E

Chapter 6.4, Problem 12E

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Chapter 6 Solutions

Elementary Geometry For College Students, 7e

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X , Y , and Z are on circle O such that m X Y ⌢ = 120 ° , m Y Z ⌢ = 130 ° , and m X Z ⌢ = 110 ° . Suppose that triangle X Y Z is drawn and that the triangle A B C is constructed with its sides tangent to circle O at X , Y , and Z . Are △ X Y Z and △ A B C similar triangles ?

Solution Summary: The author explains that the triangles ABC and XYZ are not similar.

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