Elementary Geometry For College Students, 7e

7th Edition

ISBN: 9781337614085

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

Publisher: Cengage,

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Transcribed Image Text:When constructing an angle bisector, why must the arcs intersect?

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Use a protractor to measure this angle. If necessary, extend the sides of the angle.

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The top surface of a picnic table is in the shape of a regular hexagon. What is the measure of the angle formed by two consecutive sides?

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Is it really necessary to construct all three bisectors of the angles of a triangle to locate its incenter?

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The face of a clock has the shape of a regular polygon with 12 sides. What is the measure of the angle formed by two consecutive sides?

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Suppose that a circle is divided into three congruent arcs by points A,B, and C. What is the measure of each arc? What type of figure results when A,B, and C are joined by line segments?

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Construct a right triangle that has acute angle A and hypotenuse of length c.

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Use a protractor to measure the angle to the nearest degree. Extend the sides of the angle if necessary.

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Explain why the following statement is true. The acute angles of a right triangle are complementary.

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Consider any triangle and one exterior angle at each vertex. What is the sum of the measures of the measures of the three exterior angle of the triangles?

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Suppose that a circle is divided by points A,B,C, and D into four congruent arcs. What is the measure of each arc? If these points are joined in order, what type of quadrilateral results?

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Construct the angle bisector of obtuse angle RST.

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In square ABCD not shown, point E lies in the interior of ABCD in such a way that ABE is an equilateral triangle. Find mDEC.

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