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Medians Altitudes and Bisectors

Question 9 of 12
The circumcenter is the point shared by the altitudes of a triangle.

Medians Altitudes and Bisectors Question 9 of 12 The circumcenter is the point shared-example-1
User DaveTheAl
by
2.2k points

1 Answer

19 votes
19 votes

False (option B)

Step-by-step explanation:

To answer the question, we will be using diagrams

An altitude is a line that passes through a vertex and it's perpendicular to the side opposite this vertex.

A circumcenter is a point where perpendicular bisectors of the sides of a triangle meet.

From our diagram, we see that the lines do not have to be an altitude as altitudes are lines that pass through the vertex. The perpendicular bisectors here do not pass through the vertex.

The statement the circumcenter is the point shared by the altitudes of a triangle is false

Medians Altitudes and Bisectors Question 9 of 12 The circumcenter is the point shared-example-1
Medians Altitudes and Bisectors Question 9 of 12 The circumcenter is the point shared-example-2
User Anwarma
by
2.7k points
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