Centroid and Orthocenter

Question 1

Which figure has an orthocenter outside the triangle?

Revolt · Accepted Answer

[Image: A triangle has angle measures of 45, 110, and 25 d...]

Question 2

Manny says that the diagram shows a centroid. Is he correct? Why or why not?

Revolt · Accepted Answer

no, because the centroid is where the medians meet

Question 3

S is the centroid of triangle NQL.What is the length of NR?

Revolt · Accepted Answer

36 units

Question 4

Question 4

Revolt · Accepted Answer

26

Question 5

What error did Tracy make?

Revolt · Accepted Answer

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

Question 6

S is the centroid of triangle XYZ.What is the length of SW?

Revolt · Accepted Answer

11 units

Question 7

Question 7

Revolt · Accepted Answer

39

Question 8

Complete the statement about how to prove that the medians of an isosceles triangle meet at a point.

Revolt · Accepted Answer

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; 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.: vertex; 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.: medians

Question 9

Complete the statement about how to prove that the medians of an isosceles triangle meet at a point.

Revolt · Accepted Answer

✔ midpoint; 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; 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.: vertex; 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.: medians

Question 10

medianmidpoint✔ vertex

Revolt · Accepted Answer

✔ vertex

Centroid and Orthocenter Answers

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