Centroid and Orthocenter

Question 1

An orthocenter is the intersection of three

Revolt · Accepted Answer

B: altitudes in a triangle.

Question 2

In which figure is point G an orthocenter?

Revolt · Accepted Answer

D: Triangle H J K is shown. Lines are drawn from each point to the opposite side to form right angles and the lines intersect at point G.

Question 3

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.

Revolt · Accepted Answer

B: Point G cannot be a centroid because JG and GE are in the ratio 1:2.

Question 4

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

Revolt · Accepted Answer

C: 15 units

Question 5

Point G is the centroid of triangle ABC. AG = (5x + 4) units and GF = (3x – 1) units.

Revolt · Accepted Answer

D: 51 units

Question 6

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

Revolt · Accepted Answer

D: acute.

Question 7

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

Revolt · Accepted Answer

B: 7 feet

Question 8

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

Revolt · Accepted Answer

C: 34 units

Question 9

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. ?

Revolt · Accepted Answer

D: Show that AF is the median of BC.

Question 10

In triangle TRS, TZ = (3x) inches and WZ = (2x - 3) inches.[Figure may not be drawn to scale]

Revolt · Accepted Answer

B: 9 inches

Centroid and Orthocenter Answers

More from this Course

TRY EDGENUITY HACKS