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Examine whether the following are polygons. If any one among them is not, say why?
Only (b) is a polygon, others are not because figure (a) is an open shape, and other figures have curved segments.
Name each polygon.
Make two more examples of each of these.
(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
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.
An isosceles triangle by joining three of the vertices of a hexagon can be drawn as follows.
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.
Students can try their own sketch
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.
It can be observed here that AC, AD, BD, BE, CE are the diagonals.
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