Question

Which statement is true about the segments in triangle XYZ?

Segment ZM is the same length as segment ZN.
Segment XN is the same length as segment NY.
Segment ON is two-thirds the length of segment ZN.
Segment PM is two-thirds the length of segment ZM.

Answer 1

Look at the acute triangle XYZ in which O is the centroid and P is the orthocenter.

Answer 2

Look at the acute triangle XYZ in which O is the centroid and P is the orthocenter.