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Given : DE II OB
EF II BC
To prove : DF II OC
Construction : Join DF
Step-by-step explanation:
In triangle AOB and tri. AOC,
AO = AO [ common]
∠OBA = ∠OCA
AO is angle bisector,
So ∠BAO = ∠CAO
ΔABO ≅ ΔACO [ ASA similarity]
OB = OC [ by cpct] _ eq 1.
Like that we can prove ΔEDX ≅ ΔFDX [X is the point ]
EX = DX [ by cpct ] _ eq.2
Then DF II OC .[ from eq. 1 and eq 2 ]
Hope it helps you dear..
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