Question

Show that YO bisects ∠Y and ∠O

Answer 1

Step-by-step explanation:

In triangle XYO and triangle ZYO

YO = YO (Common)

XY = ZY (Given)

XO = ZO (Given)

Triangle XYO and Triangle ZYO will be congruent by SSS congruence criterion

Therefore , Angle ∠XYO = ∠ZYO (By corresponding parts of congruent Triangle(CPCT) )

So we can see that YO bisects ∠Y .

and Similarly ,

Angle ∠XOY = ∠ZOY (By corresponding parts of congruent Triangle(CPCT) )

So we can see that YO bisects ∠O.

Hence Proved

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