Question

In the given figure, OC = OD and angle COA = Angle DOB. Prove that triangle OAB is isosceles triangle. ​

Answer 1

Answer:

TRIANGLE BOD AND TRIANGLE COA ARE CONGRUENT BY (ASA)

ANGLE COA = ANGLE DOB

OC = OD

ANGLE ODB = ANGLE OCA

PROPERTY( ANGLES OPPOSITE TO EQUAL SIDES OF A TRIANGLE ARE EQUAL)

THEREFORE THE TRIANGLES ARE CONGRUENT

SO,

AO= BO ( CPCT)

THEREFORE,

AOB IS AN ISOCELES TRIANGLE

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Answer 2

Answer:

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