Page 106 - Start Up Mathematics_6

Polygon (sides) Regular Irregular Polygon (sides) Regular Irregular

Triangle (3) Heptagon (7)

Quadrilateral (4) Octagon (8)

Pentagon (5) Nonagon (9)

Hexagon (6) Decagon (10)

Example 22: Name each polygon.

(a) (b) (c) (d)

Make two more figures of each of the above type.
Solution: (a) A quadrilateral (b) A triangle

(c) A pentagon (d) An octagon

Example 23: A diagonal is a line segment that joins any two vertices of a polygon and is not a
side of the polygon. Draw a rough sketch of a pentagon and draw its diagonals. How
many diagonals are formed? E

Solution: AC, AD, BD, BE and CE are the diagonals of D
A
pentagon ABCDE. In all, there are 5 diagonals.
B C
Example 24: Draw a rough sketch of a regular hexagon. Draw a rectangle by joining exactly four
of the vertices. Can we draw a trapezium? What type of trapezium is it?

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