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Chapter 5 Understanding Elementary Shape Ex 5.8 Solutions

Question - 1 : - Examine whether the following are polygons. If any one among them is not, say why?

Answer - 1 : -

(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 - 2 : -

(a) The given figure is a quadrilateral as this closed figure is made of 4
line 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 - 3 : - 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.

Answer - 4 : -

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 - 5 : - It can be observed here that AC, AD, BD, BE, CE are the diagonals.

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