Q4 Is the given figure a convex pol... [FREE SOLUTION]

91影视

Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

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

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.

Step 2. Observe the given diagram.

The given figure is:

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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91影视

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

Short Answer

Step by step solution

Step 1. Definition of convex polygon.

Step 2. Observe the given diagram.

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

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