Question

In Fig. 30, line segments AB and CD bisect each other at O. Which of the following statements is true?
(i) ∆ AOC ≅ ∆ DOB
(ii) ∆ AOC ≅ ∆ BOD
(iii) ∆ AOC ≅ ∆ ODB.
State the three pairs of matching parts, yut have used to arive at the answer.

Answer 1

We have AO = OB.
And CO = OD

Also ∠AOC = ∠BOD
Therefore by SAS condition, △AOC ≅ △BOD.

Therefore, statement (ii) is true.