Page No 108:
Question 1:
Examine whether the following are polygons. If any one among them is not, say why?
Answer:
(a) It is not a polygon as it is not a closed figure.(b) Yes, it is a polygon made of 6 sides.
(c) No, it is not made of line segments.
(d) No, it is not made of only line segments.
Question 2:
Name each polygon.
Make two more examples of each of these.
Answer:
(a) The given figure is a quadrilateral as this closed figure is made of 4line segments. Two more examples are
(b) The given figure is a triangle as this closed figure is made of 3 line segments. Two more examples are
(c) The given figure is a pentagon as this closed figure is made of 5 line segments. Two more examples are
(d) The given figure is an octagon as this closed figure is made of 8 line segments. Two more examples are
Question 3:
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.Answer:
An isosceles triangle by joining three of the vertices of a hexagon can be drawn as follows.
Question 4:
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.
Question 5:
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.Answer:
It can be observed here that AC, AD, BD, BE, CE are the diagonals.
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