5. Draw a circle of any radius, say 4 cm. Draw any two of its diameters. Join the ends of these diameters. What figure do you obtain? What figure is obtained if the diameters are perpendicular to each other?
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Step - 1: Find the diagram
By joining the ends of two diameters, we get a rectangle.
By measuring, we find AB = CD = 3 cm, BC = AD = 2cm,
i.e. pairs of opposite sides are equal and also
∠A = ∠B = ∠C = ∠D = 90° i.e. each angle is of 90°
Hence, it is a rectangle.
Step - 2: Find the final diagram
If the diameters are perpendicular to each other, then by :-
Joining the ends of two diameters, we get a square.
By measuring, we find that AB = BC = CD = DA = 2.5 cm, i.e., all four sides are equal.
Also ∠A = ∠B = ∠C = ∠D = 90° i.e. each angle is of 90°
Hence, it is a square.
Hence, analysed the two figures obtained by J
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