Clare missed class and Jada is teaching her how to construct the circumscribed circle of a triangle. Here are the instructions Jada wrote. "Construct all 3 perpendicular bisectors of the triangle's sides. The point where the perpendicular bisectors intersect is called the circumcenter. Construct a circle centered at the circumcenter with radius set to the distance between the circumcenter and a vertex. If the triangle has a circumscribed circle, the circle you construct will go through all 3 vertices." Do you agree with Jada's instructions? Explain your reasoning.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Clare missed class and Jada is teaching her how to construct the circumscribed circle of a triangle.
Here are the instructions Jada wrote.
"Construct all 3 perpendicular bisectors of the triangle's sides. The point where the perpendicular
bisectors intersect is called the circumcenter. Construct a circle centered at the circumcenter with
radius set to the distance between the circumcenter and a vertex. If the triangle has a circumscribed
circle, the circle you construct will go through all 3 vertices."
Do you agree with Jada's instructions? Explain your reasoning.
Transcribed Image Text:Clare missed class and Jada is teaching her how to construct the circumscribed circle of a triangle. Here are the instructions Jada wrote. "Construct all 3 perpendicular bisectors of the triangle's sides. The point where the perpendicular bisectors intersect is called the circumcenter. Construct a circle centered at the circumcenter with radius set to the distance between the circumcenter and a vertex. If the triangle has a circumscribed circle, the circle you construct will go through all 3 vertices." Do you agree with Jada's instructions? Explain your reasoning.
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