Question

Line segments ab and cd bisect each other at o.ac and bd are joined forming triangles aoc and bod.state three equality relations between the parts of the two triangles,that are given or otherwise known. Are the two triangles are congruent. State in symbolic form . Which congruence do you use

Answer 1

At first try drawing the figure using the given datas.Then read the following.This is very simple concept.

We have AO = OB and CO = OD since AB and CD bisect each other at 0.

Also ∠AOC = ∠BOD

since they are opposite angles on the same vertex.

Therefore by SAS congruence condition,
ΔAOC≅ΔBOD