Question

In the given figure, OA=OB and OC =OD. show that triangle AOC congruence triangle BOD

Answer 1

Answer:

In the figure Given

OA=OB. (1)

OC=OD. (2)

To Prove

AOC is congruent to BOD

Line CB intersects AD

Angle AOC = Angle BOD ( vertically opposite angle equal to each other ) (3)

In Angle AOC and Angle BOD

OA=OB from 1

Angle AOC = Angle BOD. from (3)

OD= OC (2)

So AOC congruent to BOD ( SAS congruence rule)