Question

triangle fgh is shown below. which term best describes point k? * centroid circumcenter incenter orthocenter

Explanation:

To determine the term for point \( K \) in triangle \( FGH \):

• Centroid: Intersection of medians (not related to right angles).
• Circumcenter: Intersection of perpendicular bisectors (focus on bisecting sides, not altitudes).
• Incenter: Intersection of angle bisectors (related to angles, not right angles from vertices).
• Orthocenter: Intersection of the triangle’s altitudes (altitudes are perpendicular segments from vertices to opposite sides; the right angles in the diagram show \( K \) as the intersection of altitudes).

Answer:

D. orthocenter