Q2 of 33 Page 41

How many diagonals does each of the following have?

A. A convex quadrilateral


B. A regular hexagon


C. A triangle

(a) There are 2 diagonals in a convex quadrilateral.(See in figure below)


(b) There are 9 diagonals in a regular hexagon


(Represented in figure)



(c) A triangle does not have any diagonal in it


(Represented in figure)



More from this chapter

All 33 →
1

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

 3

What is the sum of the measures of the angles of a convex quadrilateral? Will this property hold if the quadrilateral is not convex? (Make a non-convex quadrilateral and try!)

 4

Examine the table. (Each figure is divided into triangles and the sum of the angles deduced from that)


What can you say about the angle sum of a convex polygon with number of sides?


A. 7


B. 8


C. 10


D. n

 5

What is a regular polygon?

State the name of a regular polygon of


(i) 3 sides


(ii) 4 sides


(iii) 6 sides