An integer point is a point on the xy-plane with both coordinates integer. Given a convex pentagon whose vertices are all integer points. Prove that the pentagon contains at least one more integer point (besides its vertices). Recall: A polygon is convex if it contains all its diagonals.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.1: Early Definitions And Postulates
Problem 36E: Consider noncoplanar points A, B, C, and D. Using three points at a time such as A, B, and C, how...
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An integer point is a point on the xy-plane with both coordinates integer.
Given a convex pentagon whose vertices are all integer points. Prove that the pentagon contains at least one
more integer point (besides its vertices).
Recall: A polygon is convex if it contains all its diagonals.
Transcribed Image Text:An integer point is a point on the xy-plane with both coordinates integer. Given a convex pentagon whose vertices are all integer points. Prove that the pentagon contains at least one more integer point (besides its vertices). Recall: A polygon is convex if it contains all its diagonals.
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