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Understanding Elementary Shapes
1. Examine whether the following are polygons. If any one among them is not, say why?
Solution: (a) It is not a polygon as it is not a closed figure.
(b) It is a polygon.
(c) It is not a polygon as it is not made of line segments.
(d) It is not a polygon as it is not enclosed with a line segment.
2. Name each polygon.
Make two more examples of each of these.
Solution: (a) The given figure is a quadrilateral because it is made of 4 line segments.
(b) The given figure is a triangle as it is made of 3 line segments.
(c) The given figure is a pentagon as it is made of 5 line segments.
(d) The given figure is an octagon as it is made of 8 line segments.
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.
The triangle formed is an isosceles triangle.
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.
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.
Solution: In the figure shown AC, AD, BE, BD and EC are the diagonals of a pentagon.
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