# Kenmotu & Circles Relationship

Geometry Level 3

The above is an equilateral triangle inside of which three identical squares are intersecting at the point named first Kenmotu point.

True or False?

1. If the triangle is equilateral, then the first Kenmotu point is the center of the incircle.

2. If the first Kenmotu point is the center of the incircle, then the triangle is equilateral.