Mathematics
Draw a circle and any two of its (non-perpendicular) 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?
Constructions
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Answer
Steps:
Mark a point O as the centre of the circle and draw a circle of any suitable radius with O as centre.
Draw any two diameters AC and BD of the circle which are not perpendicular to each other.
Join the ends A, B, C and D in order.
The figure obtained on joining the ends of the two non-perpendicular diameters is a rectangle.
When the two diameters are perpendicular to each other, the figure obtained on joining the ends of the diameters is a square.
Hence, the figure obtained is a rectangle and a square when diameters are perpendicular to each other.
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