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Convex Polygon
Definition Of Convex Polygon
A polygon is convex if any line segment joining any two points on it stays inside the polygon itself.
More About Convex Polygon
In a convex polygon, a rubber band fits snugly without leaving any gap.
The measure of the internal angles of a convex polygon is always less than 180°.
Video Examples:Convex Polygon
Example of Convex Polygon
The above figures shown are convex polygons.
Solved Example on Convex Polygon
Ques: Count the number of convex polygons among the given figures.
Choices:
A. 1
B. 2
C. 3
D. 4
Correct Answer: C
Solution:
Step 1: Any two points in the interior of a convex polygon can be connected with a
line segment that does not cut a side of the polygon.
Step 2: If a line is drawn through each given polygon, it does not cut the sides of the Figures 1, 2, and 4.
Step 3: Therefore, there are 3 convex polygons among the given figures.