Which statement about an orthocenter of a triangle is always true?
Answer

It is the intersection of an altitude and a median.

It is a point that lies on all three altitudes of a triangle.

It divides a side of the triangle into two congruent parts.

It divides the triangle into smaller triangles of equal area.

Question

Which statement about an orthocenter of a triangle is always true?
 Answer 

It is the intersection of an altitude and a median.

It is a point that lies on all three altitudes of a triangle.

It divides a side of the triangle into two congruent parts.
 
It divides the triangle into smaller triangles of equal area.

barrycarter · Answer

By definition, the orthocenter is where the altitudes meet, so it must be on all 3 altitudes.