PL ANSWER THE QUESTION

Question

Select all the points that segment   GE  contains.

1. ircumcenter
2. incenter
3. orthocenter
4. centroid
5. midpoint of edge DE

Answer 1

The circumcenter is the intersection of all 3 perpendicular bisectors of a triangle. Since GE is a perpendicular bisector, one its points must be where the 3 perpendicular bisectors intersect.

The incenter is the intersection of all 3 angle bisectors of a triangle. Since GE bisects angle DEF, one of its points must be where the 3 angle bisectors intersect.

The orthocenter is the intersection of all 3 altitudes of a triangle. Since GE is an altitude, one of its points must be where the 3 altitudes intersect.

The centroid is the intersection of all 3 medians of a triangle. Since GE is a median, one of its points must be where the 3 medians intersect.

None of the points on GE are contained in DE, so none of the points in GE could be the midpoint of DE.