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Chapter 3: Q4 (page 103)

Is the given figure a convex polygon, a non-convex polygon or neither?

Short Answer

Expert verified

The given figure is a non-convex polygon.

Step by step solution

01

Step 1. Definition of convex polygon.

A polygon is a closed figure formed by joining the line segments such that each line segment intersects with only two other line segments, one at each end point.

A figure is said to be convex polygon if:

All the interior angles of the polygon are less than 180°and all the diagonals drawn lies in the interior of the polygon.

02

Step 2. Observe the given diagram.

The given figure is:

03

Step 3. State whether the given figure is a convex polygon, non-convex polygon or neither.

The given figure is a non-convex polygon because all the interior angles of the polygon are not less than 180°and all the diagonals drawn do not lie in the interior of the polygon.

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