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QuizMultiple Choice

Centroid and Orthocenter

Question 1 • AZ-Geometry A (MA201)

Triangle A B C is shown. Lines are drawn from each point to the opposite side and intersect at point D.

Question illustration
Answer
A
Point D can be the orthocenter because it is the point of intersection of three segments coming from the vertices of the triangle.
B
Point D can be the orthocenter because each vertex angle appears to be bisected.
C
Point D cannot be the orthocenter because the orthocenter of an obtuse triangle is located outside the triangle.
D
Point D cannot be the orthocenter because the orthocenter of an obtuse triangle is located on the perimeter of the triangle.
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