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Regular and Irregular Polygons

Polygons which are equiangular and equilateral are called l ‘Equiangular’ means all angles
regular polygons. That is, regular polygon has are equal.
l ‘Equilateral’ means all sides
• its all sides equal. l its all angles equal. are equal.

Observe the polygons given below.

Regular polygons Irregular polygons

Note: The same markings
such as or
indicate equal length of
segments.
Similarly, same
arcs or
represent equal angles.

Here, square is a regular polygon but a rectangle
is not as its angles are equal but sides are not Maths Talk
equal. 1. Why is rhombus not a regular
Also, an equilateral triangle is a regular polygon polygon? Discuss.
but a right-angled triangle is not a regular polygon 2. Is a polygon with all equal angles always a regular
because its sides and angles are not equal. polygon? Justify your answer with an example.

Practice Time 3A

1. Classify the figures given below on the basis of the following.
(a) open curve (b) Simple closed curve

(i) (ii) (iii) (iv) (v) (vi)
2. Which of the following curves are polygons?
(a) (b) (c) (d) (e) (f)

3. Classify as concave or convex polygons.
(a) (b) (c) (d)

(e) (f) (g) (h)

59 Quadrilaterals