Mathematics

Mathematics

Problem

In a circle with centre

O

, chords

AB

and

CD

are parallel and

AB = CD

. The four points are taken in order so that

ABCD

forms a trapezium. a. (i) Prove that the arcs

AB

and

CD

are equal. b. (ii) Show that

\angle BAD = \angle BCD

. c. (iii) If the perpendicular distance from

O

to

AB

is

8\,\text{cm}

, find the perpendicular distance from

O

to

CD

. Give reason for your answer.

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