1. Carefully prove that the line joining the midpoint of any chord to the center of the circle is the perpendicular bisector of that chord. Support each step in your solution. You should include a figure and invoke an appropriate Euclidean criterion for congruent triangles.

1. Carefully prove that the line joining the midpoint of any chord to the center of the circle is the perpendicular bisector of that chord. Support each step in your solution. You should include a figure and invoke an appropriate Euclidean criterion for congruent triangles.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter3: Triangles

Section3.4: Basic Constructions Justified

Problem 37E: Draw an obtuse triangle and construct the three perpendicular bisectors of its sides. Do the...

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1. Carefully prove that the line joining the midpoint of any chord to the center of the circle is the
perpendicular bisector of that chord.
Support each step in your solution. You should include a figure and invoke an appropriate
Euclidean criterion for congruent triangles.

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