AnswersOC - LCISD - Geometry BCentroid and Orthocenter

Centroid and Orthocenter Answers

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

A
no, because the centroid is where the altitudes meet
B
no, because the centroid is where the medians meet
C
yes, because the centroid is where the altitudes meet
D
yes, because the centroid is where the medians meet
3

altitudes✔ mediansmidpoints

A
altitudes
B
medians
C
midpoints
111265

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

Answers:
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
111266

medianmidpointvertex

A
median
B
midpoint
C
vertex
111267

altitudesmediansmidpoints

A
altitudes
B
medians
C
midpoints
111270

What error did Tracy make?

A
She used AG = 2EG, but the correct statement is 2AG = GE.
B
She found that x = 4, but the correct value for x is 2.
C
She used GF = 2BG, but the correct statement is BG = 2GF.
D
She found that GF = 64, but the correct value of GF is 8.
111273

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

A
no, because the centroid is where the altitudes meet
B
no, because the centroid is where the medians meet
C
yes, because the centroid is where the altitudes meet
D
yes, because the centroid is where the medians meet
111276

What error did Tracy make?

A
She used AG = 2EG, but the correct statement is 2AG = GE.
B
She found that x = 4, but the correct value for x is 2.
C
She used GF = 2BG, but the correct statement is BG = 2GF.
D
She found that GF = 64, but the correct value of GF is 8.
111279

altitudemedian✔ midpoint

A
altitude
B
median
C
midpoint
111280

altitudemedianmidpoint

A
altitude
B
median
C
midpoint

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