Write in symbolic form then determine the validity of an argument using truth table. Show neat and organized solution.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter7: Locus And Concurrence
Section7.3: More About Regular Polygons
Problem 41E
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Write in symbolic form then determine the validity of an argument using truth table. Show neat and organized solution.

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 has 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: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 has 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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