Question

Look at the acute triangle ABC. Point G is the centroid and F is the orthocenter.

Answer 1

Which statement is always true about the segments in triangle ABC? (4 points)

Segment AE is the same length as segment EB.
Segment CF is the same length as segment FD.
Segment GE is two-thirds the length of segment CE.
Segment CF is two-thirds the length of segment CD.

Answer 2

@jim_thompson5910

Answer 3

Segment AE is the same length as segment EB is true because the centroid lies on the medians and the medians always cut the segments in half


So it's choice A


Note: I'm assuming only one correct answer choice is possible