Question

What types of concurrent constructions are needed to find the orthocenter of a triangle?

A. intersection of the lines drawn perpendicular to each side of the triangle through its midpoint
B. intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side
C. intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex
D. intersection of the lines drawn to bisect each vertex of the triangle

Answer 1

B. Intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side

Explanation:

The orthocenter of a triangle is the point of concurrency of the three altitudes or extensions of the the altitudes of a triangle, each of which are perpendicular lines drawn from a vertex of the triangle to the side opposite the vertex

The type of concurrent construction needed to find the orthocenter of a triangle is the point of intersection of the perpendicular lines drawn from each vertex of the triangle, to the side opposite the vertex

Therefore, the correct option is option B. intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side.