Chapter - 5 Understanding Elementary Shapes

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Q
Understanding Elementary Shapes

Question:

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.

Examples: 

(b) The given figure is a triangle as it is made of 3 line segments.

Examples:

(c) The given figure is a pentagon as it is made of 5 line segments.

Examples:

(d) The given figure is an octagon as it is made of 8 line segments.

Examples:

 

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.

Solution: 

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. 

Solution:

 

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.

Answer:


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