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

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

It divides the triangle into smaller triangles of equal area.

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

It is the intersection of an altitude and a median.

Question

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

anonymous · Answer

It's the first one, from the definition of the orthocenter.  It's where all altitudes meet, drawn from the vertices.