Question

Which statement shows a difference between a centroid and an orthocenter?

An orthocenter divides a triangle into smaller triangles of equal areas but the centroid does not.

An orthocenter is the center of gravity of a triangle but a centroid is the center of mass.

An orthocenter divides an altitude in two parts with one being twice the length of the other but a centroid does not.

An orthocenter can be present outside, inside, or on the triangle but a centroid is always present inside the triangle.

Answer 1

orthocenter is the concurrency of the altitudes... it can be outside of a triangle if the triangle is obtuse... the centroid is the concurrency of angle bisectors.. it must be inside the triangle no matter what...

Answer 2

so D an orthocenter can be present outside, inside or on the triangle but a centriod is always present inside the triangle