Question

3
1. 3. (A) Complete and write any one of the following activities :
(i) In the figure, chord AB = chord CD.
Complete the following activity
to prove arc AC = arc BD.
Proof :
B
chord AB = chord CD
(Given)
.. arc ACBarc
... (1) ... [Arcs corresponding to congruent chords)
Now, (arc ACB) = m(arc AC) +
.. (2)
(Arc addition property)
..
and (arc CBD) = m(arc CB) +
... (3)
.. from (1), (2) and (3),
m(arc AC) + m(arc CB)+ m (arc CB) +
Eliminating m(arc CB) from both the sides, we get,
m(arc AC) =
... arc AC
nr​

Answer 1

Answer:

Answer

Given : chord AB ≃ chord CD.

⇒ length (arc AB minor) = length (arc CD minor)

⇒ (arc AC) + (arc CB) = (arc CB) + (arc BD)

⇒ length of arc (AC) = length of arc (BD)

⇒ (arc AC) ≅ (arc BD)

solution