Question

In figure AB and CD bisect each other at O. State the 3 pairs of equal parts in ∆AOC and ∆BOD. Is ∆AOC ≅ ∆BOD? Give reasons

Answer 1

Answer:

need diagram to explain this problem

Answer 2

Step-by-step explanation:

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