Question

Short Answer

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
(4 points)

Answer 1

[AI-generated answer — Bot GPT 3.5]

Perpendicular bisectors of the sides: Circumcenter

Bisectors of the angles: Incenter
Medians: Centroid
Lines containing the altitudes: Orthocenter

Answer 2

Note: Your teacher will grade your response to questions 13–15 to ensure you receive proper credit for your answer.

What are the properties of the circumcenter of a triangle?
(2 points)

Answer 3

[AI-generated answer — Bot GPT 3.5]

The circumcenter of a triangle is equidistant from the three vertices of the triangle, it lies inside, on, or outside the triangle depending on the type of triangle. It is the center of the circumscribed circle that passes through all three vertices of the triangle.