Elementary Geometry For College Students, 7e

7th Edition

ISBN: 9781337614085

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

Publisher: Cengage,

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Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made p…

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A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.

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Textbook Question

Chapter 6.3, Problem 40E

Circles O, P, and Q are tangent (as shown) at points X, Y, and Z. Being as specific as possible, explain what type of triangle Δ P Q O is if:

a) O X = 2 , P Y = 3 , Q Z = 1

b) O X = 2 , P Y = 3 , Q Z = 2

Chapter 6.3, Problem 40E, Circles O, P, and Q are tangent as shown at points X, Y, and Z. Being as specific as possible,

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 6.3, Problem 39E

Chapter 6.3, Problem 41E

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Chapter 6 Solutions

Elementary Geometry For College Students, 7e

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Circles O, P, and Q are tangent (as shown) at points X, Y , and Z . Being as specific as possible, explain what type of triangle Δ P Q O is if: a) O X = 2 , P Y = 3 , Q Z = 1 b) O X = 2 , P Y = 3 , Q Z = 2

Solution Summary: The author explains that Delta PQO is a right triangle with hypotenuse of the side OP.

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Chapter 6 Solutions