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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.

We have drawn the pentagon ABCDE and by joining its vertices he has drawn the diagonals AC, CE, EB, BD and DA.

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.

We have made the regular octagon ABCDEFGH and by joining vertices H, C, D and G we have formed the rectangle HCDG

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.

We have drawn the regular Hexagon ABCDEF and by joining the vertices B, D and F we have formed the Equilateral Triangle BDF.

2.  Name each polygon.

            

            Make two more examples of each of these.

(a) Quadrilateral (b) Triangle (c) Pentagon (d) Octagon

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

             

(a) The given figure is not a polygon as it is not a closed figure. (b) The given figure is  a polygon. (c) The given figure is not a polygon as a polygon is enclosed only by line segments. (d) The given figure is not a polygon as a polygon is enclosed only by line segments.
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