Geometry- Centroid and Orthocenter assignment

Which figure has an orthocenter outside the triangle?

C

Manny says that the diagram shows a centroid. Is he correct? Why or why not?
no, because the centroid is where the altitudes meet
no, because the centroid is where the medians meet
yes, because the centroid is where the altitudes meet
yes, because the centroid is where the medians meet

b. no, because the centroid is where the medians meet

S is the centroid of triangle NQL.
What is the length of NR?
4 units
8 units
36 units
48 units

c. 36 units

G is the centroid of triangle ABC.
What is the length of GF?
___ units

26

What error did Tracy make?
She used AG = 2EG, but the correct statement is 2AG = GE.
She found that x = 4, but the correct value for x is 2.
She used GF = 2BG, but the correct statement is BG = 2GF.
She found that GF = 64, but the correct value of GF is 8.

c. She used GF = 2BG, but the correct statement is BG = 2GF.

S is the centroid of triangle XYZ.
What is the length of SW?
5 units
11 units
22 units
28 units

b. 11

G is the centroid of triangle ABC.
What is the length of AE?
___ units

39

To prove that the medians of an isosceles triangle meet at a point, show that the ________ of a side lies on the line containing the opposite _________ and the point where the other two _________ intersect.

midpoint
median
vertex