Question

read the question and choose the correct answer. *
1 point
triangle lmn is shown below.
which term best describes point p?
a. centroid
b. circumcenter
c. incenter
d. orthocenter
a
b
c
d

Explanation:

To determine the term for point \( P \) in triangle \( LMN \), we analyze each option:

• Centroid: The intersection of the medians (lines from vertices to midpoints of opposite sides). The diagram shows segments dividing sides into equal parts (midpoints), so the lines are medians, and their intersection is the centroid.
• Circumcenter: Intersection of perpendicular bisectors (not shown here, as the segments are not perpendicular bisectors).
• Incenter: Intersection of angle bisectors (not indicated here, as the segments connect vertices to midpoints, not angle bisectors).
• Orthocenter: Intersection of altitudes (perpendicular to sides), which is not the case here.

Answer:

A. centroid