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12) choose the correct answer. the center of a circle inscribed in a tr…

Question

  1. choose the correct answer. the center of a circle inscribed in a triangle will also be the ______ of the triangle. circumcenter vertex point incenter

Explanation:

Brief Explanations
  • The circumcenter is the center of the circumscribed circle (circum - circle) around a triangle, not the inscribed circle.
  • A vertex is a corner point of the triangle, not the center of an inscribed circle.
  • A “point” is a very general term and not specific to the center of an inscribed circle in a triangle.
  • The incenter is defined as the center of the circle inscribed (in - circle) in a triangle. It is the intersection point of the angle bisectors of the triangle.

Answer:

incenter