Question

In Jaden’s yard, there is a triangular garden patch. He wants to plant a geranium in the patch at a point equidistant from all its vertices. Where should Jaden plant the geranium?

A) in the center of the inscribed circle of the triangle

B) in the center of the circumscribed circle of the triangle

C) at the point of intersection of the angle bisectors of the triangle

D) at the point of intersection of an angle bisector and a perpendicular bisector of the triangle

Answer 1

C
The construction described creates the incenter of the circle and this point is equidistant from all vertices of a triangle.