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

What is the equation of , simplified?y − y1 = m(x − x1)y − 0 = (x − c)

Revolt · Accepted Answer

y = x −

Question 3

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

Revolt · Accepted Answer

yes, because (a + c) = b

Centroid and Orthocenter Answers

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