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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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