9. Determine the validity of an argument: A polygon is regular or a polygon has a side which is longer than another side of the polygon. If a polygon is regular then all the sides of the polygon are congruent. If a polygon has one side which is longer than another side of the polygon, then an interior angle of the polygon has measure greater than one of the interior angles of the polygon. Therefore, either the polygon have congruent sides or an interior angle of the polygon has a measure greater than one of the interior angles of the polygon.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.2: Similar Polygons
Problem 11E: a Does the similarity relationship have a reflexive property for triangles and polygons in general?...
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9. Determine the validity of an argument: A polygon is regular or a polygon has a side
which is longer than another side of the polygon. If a polygon is regular then all the
sides of the polygon are congruent. If a polygon has one side which is longer than
another side of the polygon, then an interior angle of the polygon has measure
greater than one of the interior angles of the polygon. Therefore, either the polygon
have congruent sides or an interior angle of the polygon has a measure greater than
one of the interior angles of the polygon.
Transcribed Image Text:9. Determine the validity of an argument: A polygon is regular or a polygon has a side which is longer than another side of the polygon. If a polygon is regular then all the sides of the polygon are congruent. If a polygon has one side which is longer than another side of the polygon, then an interior angle of the polygon has measure greater than one of the interior angles of the polygon. Therefore, either the polygon have congruent sides or an interior angle of the polygon has a measure greater than one of the interior angles of the polygon.
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