# Triangles in Circles

Geometry Level 2

Rutwik was doodling around in math class and drew the two circles as shown in the diagram.

After giving it a thought Rutwik came up with a hypothesis and calls it $$Rutwik's \ Hypothesis$$.

Here's his hypothesis.

Rutwik's Hypothesis : The $$GREEN$$ triangle and the $$BLUE$$ triangle are similar if and only if the segment $$a$$ is parallel to segment $$b$$.

What do you think about his hypothesis ?

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