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Question

Give a simple activity to find out whether 4 measurements are enough to draw a quadrilateral.

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Solution

Take a pair of sticks of equal lengths, say 10cm . Take another pair of sticks of equal lengths, say , 8cm. Hinge them up suitably to get a rectangle of length 10cm and breadth 8cm.

This rectangle has been created with the 4 available measurements.

Now just push along the breadth of the rectangle .Is the new shape obtained , still a rectangle (fig 4.2)? Observe that the rectangle has now become a parallelogram. Have you altered the lengths of the sticks? No! the measurements of sides remain the same .

Give another push to the newly obtained shape in a different direction; what do you get? You again get a parallelogram, which is altogether different (fig4.3), yet the four measurements remain the same

This shows that 4 measurements are not enough to construct a quadrilateral.


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