Note: Your teacher will grade your response to questions 13-15 to ensure you receive proper credit for your answer.
For a triangle, list the respective names of the points of concurrency of
• perpendicular bisectors of the sides
• bisectors of the angles
• medians
• lines containing the altitudes
The points of concurrency for a triangle are:
• Perpendicular bisectors of the sides: The point where the perpendicular bisectors of the sides intersect is called the circumcenter.
• Bisectors of the angles: The point where the bisectors of the angles intersect is called the incenter.
• Medians: The point where the medians (segments connecting each vertex to the midpoint of the opposite side) intersect is called the centroid.
• Lines containing the altitudes: The point where the altitudes (perpendicular segments from each vertex to the opposite side) intersect is called the orthocenter.