Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Provide an Analytic Proof for each of the following theorems.
- The medians of an equilateral
triangle are altitudes. - If M is the middle point of the side AB of the parallelogram ABCD, then the line segment MC and the diagonal BD trisect each other.
- The line joining the midpoints of the nonparallel sides of a trapezoid is parallel to the parallel sides and has length equal to one-half the sum of the lengths of the parallel sides.
- If the sum of the squares of two sides of a triangle equals the square of the third side, then the triangle is a right triangle.
- The perpendicular bisector of a chord of a
circle contains the center.
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