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Chapter 3: Q2 (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掳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掳and all the diagonals drawn do not lie in the interior of the polygon.

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