Perpendicular Bisectors and Triangle Circumcenters
- Joseph Rudin III
Select the correct answer.
Which of the following points does the perpendicular bisector go through?
Points on Perpendicular Bisectors
Points on a Perpendicular Bisector
Answer the following question.
Based on your observation as you moved point C above, what can we say regarding ANY point on a perpendicular bisector as it relates to the end points of the segment?
Answer the following questions.
What are the coordinates of the circumcenter?
What is the distance from the circumcenter to vertex A?
What is the distance from the circumcenter to vertex B?
What is the distance from the circumcenter to vertex C?
Go back to the exercise above and construct a circumscribed circle around the triangle. Do this using the Circle through a point tool . Click on the circumcenter as your center of the circle, and then click on vertex A of the triangle. What other points does the circle go through?