Question

3. 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?


please give the correct answer.
answer should be step wise.


wrong answer would be deleted.​

Answer 1

By joining the ends of two diameters, we get a rectangle. By measuring, we find AB = CD = 3 cm, BC = AD = 2 cm, i.e., pairs of opposite sides are equal and also ∠A = ∠B = ∠C = ∠D = 90∘, , i.e. each angle is of 90∘.

Henc,e it is a rectangle.

(ii) 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.