Question

# From the diagram given below, which of the following option is true?

- ΔOBA and ΔOBC are congruent
- ΔOBA and ΔOBC are not congruent
- ∠ABO < ∠CBO
- ∠ABO > ∠CBO

Hint:

### We can see in the diagram that AB = BC (given),

OB = OB (same side) and AO = OC (BO is bisector of the side AC).

## The correct answer is: ΔOBA and ΔOBC are congruent

We can see in the diagram that AB = BC (given),

OB = OB (same side) and AO = OC (BO is bisector of the side AC).

Therefore, according to SSS rule, ΔOBA and ΔOBC are congruent.

OB = OB (same side) and AO = OC (BO is bisector of the side AC).

Therefore, according to SSS rule, ΔOBA and ΔOBC are congruent.

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