Question

In the given figure, seg AB and seg CD bisect each other at point O. Prove that : ∆AOC ≅ ∆BOD. Also write the remaining congruent parts.

Answer 1

Answer:

Step-by-step explanation:

Given = Segment AB and CD biesect each other at point O

To proof: ΔAOC ≅ ΔBOD

Proof:

We know that AC and CD biesect at O

so, AO = OB and CO = OD

In ΔAOC and ΔBOD

AO = OB (above proof) --- 1st equation

CO = OD (above proof) -----2nd equation

∠AOC = ∠BOD (Vertically opposite angle )  ------ 3rd equation

Hence ΔAOC and ΔBOD are congurent by SAS criteria of triangle

Congurent parts are:

AC = BD, ∠OAC= ∠ODB, ∠OCA = ∠OBD

Hope its help you

mark the answer as brainlist