MP Board Class 6th Maths Solutions Chapter 5 Understanding Elementary Shapes Ex 5.8
Examine whether the following are polygons. If any one among them is not, say why?
(a) As it is not a closed figure, therefore, it is not a polygon.
(b) It is a polygon because it is closed by line segments.
(c) It is not a polygon because it is not made by line segments.
(d) It is not a polygon because it is not made by only line segments and also it has curved surface.
Name each polygon.
Make two more examples of each of these.
Two more examples of each :
Draw a rough sketch of a regular hexagon. Connecting any three of its vertices, draw a triangle. Identify the type of the triangle you have drawn.
ABCDEF is a regular hexagon and ∆AEF is a triangle formed by joining AE.
Hence, ∆AEF is an isosceles triangle.
Draw a rough sketch of a regular octagon. (Use squared paper if you wish). Draw a rectangle by joining exactly four of the vertices of the octagon.
ABCDEFGH is a regular octagon and CDGH is a rectangle formed by joining C and H; D and G.
A diagonal is a line segment that joins any two vertices of the polygon and is not a side of the polygon. Draw a rough sketch of a pentagon and draw its diagonals.
ABCDE is the required pentagon and its diagonals are AD, AC, BE, BD and CE.