6. Construct a circle with diameter AC = 10cm

(i) Find and label a point B on the circumference of the circle such that AB = BC.

(ii) Find and label the point D on the circumference of the circle such that it lies on the side of AC opposite to B and C hat AD = 45 deg .

(iii) Join the points to form a quadrilateral ABCD. State the name of this quadrilateral.

(iv) Construct the angle bisector of BAC such that it cuts the circle at A and at another point S. Measure and write down the length of DS.