ICOME
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Polygons

Theory and Formula


Questions


Q1. Two polygons are said to be similar to each other if.
(i) Their corresponding angles are equal.
(ii) The lengths of their corresponding sides are proportional.

(a) Only (i) (b) Only (ii) (c) Both (d) None of these

Solution.
(c) Both
Solution

Q2. In a polygon internal angle is 108o more than its external angles. find the total number of sides.

(a) 10 (b) 12 (c) 8 (d) 5

Solution.
(a) 10
Solution

Q3. A polygon having Nine sides is called _________.

Solution.
Nonagon
Solution

Q4. Sum of the exterior angles of a convex polygon is __________.

Solution.
3600
Solution

Q5. A polygon has 18 sides find its measure of each interior angle.

Solution.
200
Solution

Q6. A polygon is called regular if
(a) Its sides are equal .
(b) Its angles are equal.
(c) Its sides and angles are equal.
(d) None of these

Solution.
(c) Its sides and angles are equal.
Solution

Q7. In a polygon sum of interior angle and exterior angle at a vertex will be _____
(a) 1800 (b) 3600 (c) 2400 (d) 900

Solution.
(a) 1800
Solution

Q8. n- sided polygon can be divided into ________ triangle.
(a) n (b) (n-2) (c) (n-1) (d) 2n

Solution.
(b) (n-2)
Solution

Q9. How many diagonals are their in hexagon.

Solution.
Hexagon has six sides .
Number of diagonals are n(n-3)/2
9
Solution

Q10. Find a exterior angle of a polygon which has 12 sides .

Solution.
exterior angle = 3600/n , where n is number of side .
= 30
Solution