Question

Look at the acute triangle EFG in which O is the centroid and R is the orthocenter.

Answer 1

Which statement is true about the segments in triangle EFG?

Segment GR is two-thirds the length of segment GP.

Segment EP is the same length as segment PQ.

Segment GO is two-thirds the length of segment GQ.

Segment GQ is the same length as segment GP.

Answer 2

Have you learned any of the rules about those special points?

Answer 3

I would read this:
http://www.mathopenref.com/trianglecentroid.html

Then take another look at that problem.

Answer 4

I have not, but I will read that

Answer 5

I think it is Segment GO is two-thirds the length of segment GQ.