Question

In the adjoining figure O is the centre of the circle whose diameter is MN. Measures of some central angles are given in the figure. Hence find the following
(1) m∠AOB and m∠COD
(2) Show that arc AB ≡ arc CD.
(3) Show that chord AB ≡ chord CD

Answer 1

2. arc AB= arc CD because the arc are of equal measure that is 45°.

3. chord AB= chord CD because corresponding chords of congruent arc are congruent.

Answer 2

1.measure angle AOB,=measure angle COD=45°.

2.arc AB congruent arc CD because the arc are are of equal measure that is 45 degree each.

3. chord AB congruent cord CD because the corresponding chord of congruent are congruent