Question

Draw several cyclic
quadrilaterals of different sides and name each of these
as ABCD. (This can be done by drawing several circles
of different radii and taking four points on each of them.)
Measure the opposite angles and write your observations
in the following table.​

Answer 1

Answer:

• Draw a circle of radius 2 cm on a white glazed paper with centre O.
• Cut this circle with centre O and draw one more circle of same radius.
• Take any four points A, B, C, D on the circumference of both the circles.
• Join AB, BC, CD, DA by paper folding on the both the circles.
• We get a cyclic quadrilateral ABCD on both the circles [fig.(i) and fig.(ii)]. Take ∠A and ∠C of blue colour and ∠B and ∠D of pink colour in both circles.
• From the second circle, using transparent sheets make cut outs of ∠A, ∠B, ∠C, ∠D. [fig. (iii)]. Take ∠A and ∠C of blue colour and ∠B and ∠D of pink colour.
• Make a straight line on white paper sheet. Place cut outs of ∠A and ∠C adjacent to each other on a straight line and paste them [fig.(iv)].
• Take cut outs of ∠B and ∠D and place them adjacent to each other on another straight line and paste them [fig.(iv)].