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Question

Given here are some figures.

(1)

(2)

(3)

(4)

(5)

(6)

(7)

(8)

Classify each of them on the basis of the following.

(a) Simple curve

(b) Simple closed curve

(c) Polygon

(d) Convex polygon

(e) Concave polygon

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Solution

(a) 1, 2, 5, 6, 7

(b) 1, 2, 5, 6, 7

(c) 1, 2

(d) 2

(e) 1

Simple curve : A curve that changes its direction, but it does not intersect itself. This type of curve is known as a simple curve

Simple closed curve : A curve has no endpoints, and when it encloses the region or area will form, it is known as the closed curve.

Convex polygon : Polygons that are convex have no portions of their diagonals in their exteriors.

Concave polygon : Polygons that are concave have portions of their diagonals in their exteriors.


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