Centroid and Orthocenter

Question 1

The diagram at the right shows the orthocenter of an acute triangle. Drag vertex C to form a right triangle and an obtuse triangle. Which statements are true about the orthocenter? Check all that apply. It lies inside an acute triangle.It lies inside a right triangle.It lies on a right triangle.It lies on an obtuse triangle.It lies outside an obtuse triangle.

Revolt · Accepted Answer

It lies inside an acute triangle.; It lies on a right triangle.; It lies outside an obtuse triangle.

Question 2

G is the centroid of triangle ABC.

Revolt · Accepted Answer

x: 37; ⇒ 44: 44; ⇒ 66: 66; 66

Question 3

⇒ 44

Revolt · Accepted Answer

44

Question 4

⇒ 66

Revolt · Accepted Answer

66

Question 5

What is the equation of [image 1] , simplified?y − y1 = m(x − x1)y − 0 = [image 2] (x − c)

Revolt · Accepted Answer

y = [image 1] x − [image 2]

Question 6

What is the y-coordinate?

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/d7e996725d55e4df8d217ad928a45207.png

Question 7

The equation of line [image 1] is y = [image 2] x. The midpoint of BC is (a + c, b). Does the midpoint of BC lie on [image 3] ? Why or why not?

Revolt · Accepted Answer

yes, because (a + c) = b

Centroid and Orthocenter Answers

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