If a polygon is convex, then all its points must lie inside the interior of each of its vertex angles. (True / False) For example... If a polygon is convex, then all its interior angles must be less than 180°. (True / False) For example... If the angle at each vertex of the polygon contains all other vertices in its edge and interior, then the polygon is convex. (True / False) For example... If all the diagonals of a polygon lie inside the polygon, then the polygon is convex. (True / False) For example...

If a polygon is convex, then all its points must lie inside the interior of each of its vertex angles. (True / False) For example... If a polygon is convex, then all its interior angles must be less than 180°. (True / False) For example... If the angle at each vertex of the polygon contains all other vertices in its edge and interior, then the polygon is convex. (True / False) For example... If all the diagonals of a polygon lie inside the polygon, then the polygon is convex. (True / False) For example...

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

If a polygon is convex, then all its points must lie inside the interior of each of its vertex angles. (True / False) For example...
If a polygon is convex, then all its interior angles must be less than 180°. (True / False) For example...
If the angle at each vertex of the polygon contains all other vertices in its edge and interior, then the polygon is convex. (True / False) For example...
If all the diagonals of a polygon lie inside the polygon, then the polygon is convex. (True / False) For example...

Definition Definition Two-dimentional plane figure composed of a finite number of straight line segments connected to form a closed chain or circuit. A polygonal circuit's segments are known as its edges or sides, and the points where two edges meet are known as its vertices or corners.

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