Centroid and Orthocenter

Question 1

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 2

[___] units

Revolt · Accepted Answer

26

Question 3

[___] units

Revolt · Accepted Answer

39

Question 4

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 5

medianmidpointvertex

Revolt · Accepted Answer

median

Question 6

altitudesmediansmidpoints

Revolt · Accepted Answer

medians

Question 7

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

Revolt · Accepted Answer

36 units

Question 8

What error did Tracy make?

Revolt · Accepted Answer

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

Question 9

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

Revolt · Accepted Answer

11 units

Question 10

altitudemedianmidpoint

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

Centroid and Orthocenter Answers

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