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.
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panchalanand51
panchalanand51
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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.
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anubhavkumarrai01
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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
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