Question

the intersection where three perpendicular bisectors cross with a triangle is called:
a incenter c circumcenter
b orthocenter d centroid

○ a

○ b

○ c

○ d

Explanation:

• Incenter: Intersection of angle bisectors, equidistant from sides (for incircle).
• Orthocenter: Intersection of altitudes.
• Circumcenter: Intersection of perpendicular bisectors, equidistant from vertices (for circumcircle).
• Centroid: Intersection of medians, divides medians in 2:1 ratio.

The question asks for the intersection of three perpendicular bisectors, which matches the definition of circumcenter.

Answer:

C. circumcenter