6
QuizMultiple Choice
Centroid and Orthocenter
Question 6 • Geometry - Semester 1 Pathways
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. ?
Answer
A
Write a linear equation for each side of the triangle.B
Write an expression for the midpoint of AC and BC.C
Show that AF is congruent to BD and CE.D
Show that AF is the median of BC.