Question

two line segments AB and CD bisect each other at O. two triangles are formed by connecting its vertices .Is triangle AOC congruent to triangle BOD ​

Answer 1

Answer:

see image

hope it helps you out ☺️

Answer 2

Answer:

ANSWER

Let, this be figure of given condition.

In figure, line segments AB and CD bisect each other at O.

So, O is midpoint of CD and AB

Therefore,

OC=OD

OB=OA

and ∠AOC≅∠BOD⋯⋯[vertically opposite angles]

Hence, by SAS test we can say that

ΔAOC≅ΔBOD

So, yes two triangles are congruent.

Congruence condition used is SAS

Above written two pairs of equal sides and one pair of equal angles are three equality relations of matching parts used to arrive at answer

may be my answer was also helpful for you