Centroid and Orthocenter Answers

Triangle H J K is shown. Lines are drawn from each point to the opposite side and intersect at point G to form line segments H C, J E, and K D.

In which type of triangle is the orthocenter on the perimeter of the triangle?

In which figure is point G an orthocenter?

In triangle NLM, point S is the centroid, QS = (3x – 5) cm, and NS = (4x) cm.

Triangle D E F is shown. Lines are drawn from each point to the opposite side and intersect at point G. Line segments D C, E B, and F A are formed and cut each side into 2 equal parts.

If an orthocenter lies inside of a triangle, then the triangle must be

In triangle DEF, CG = (x + 5) units and DG = (3x - 2) units.[Figure may not be drawn to sacle]

An orthocenter is the intersection of three

Triangle A B C is shown. Lines are drawn from each point to the opposite side and intersect at point D.

A centroid is the intersection of three

In triangle NQL, point S is the centroid, NS = (x + 10) feet, and SR = (x + 3) feet.

Point G is the centroid of triangle ABC. The length of segment CG is 6 units greater than the length of segment DG.