Question

the perpendicular bisectors of the sides of a triangle meet at a point called the: orthocenter circumcenter centroid incenter

Explanation:

To solve this, we recall the definitions of each term:

• Orthocenter: The point where the altitudes of a triangle meet.
• Circumcenter: The point where the perpendicular bisectors of the sides of a triangle meet. This point is equidistant from all the vertices of the triangle and is the center of the circumscribed circle (circumcircle) around the triangle.
• Centroid: The point where the medians of a triangle meet (medians are lines from a vertex to the midpoint of the opposite side).
• Incenter: The point where the angle bisectors of a triangle meet (this point is equidistant from all the sides of the triangle and is the center of the inscribed circle (incircle) of the triangle).

Since the question is about the point where the perpendicular bisectors of the sides of a triangle meet, by definition, that point is the circumcenter.

Answer:

B. circumcenter