Triangle Congruence: SAS Answers

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

In which figure is point G an orthocenter?

A centroid is the intersection of three

In the diagram, GB = 2x + 3..

The steps shown can be used to prove that the medians of a triangle meet at a point.1. Define segments BD and CE as medians of triangle ABC.2. Write linear equations for and .3. Use a system of linear equations to solve for the coordinates of intersection point G.4. Write the equation of .5. Write an expression for the midpoint of BC, point F. 6. Show that point F lies on .7. ?

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

An orthocenter is the intersection of three

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.

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

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