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  • Draw a circle and any two of its diameters. If you join the ends of these diameters, what is the figure obtained? What figure is obtained if the diameters are perpendicular to each other? How do you check your answer?

Q3.    Draw a circle and any two of its diameters. If you join the ends of these diameters, what is the figure obtained? What figure is obtained if the diameters are perpendicular to each other? How do you check your answer?

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By joining the ends of the two diameters, we get a rectangle.

Therefore, by measuring, we find that AB=CD and BC=AD, i.e, pairs of opposite sides are equal and also \angle A = \angle B = \angle C = \angle D = 90^{\circ}.

and each angle is fo 90^{\circ}.

Hence, it is a rectangle:

If the diameters are perpendicular to each other, then by joining the ends of two diameters, we get a square.

Then, by measuring the length of the side we find that AB=BC=CD=DA. that is all sides are of same length also, \angle A = \angle B = \angle C = \angle D = 90^{\circ}, that is each angle is 90^{\circ}.

Hence, it is a square:

 

 

Posted by

Divya Prakash Singh

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