Circumcenter. In GeoGebra, construct a triangle ABC and the circumcenter O. Move the vertices A, B, C around and observe possible locations for the circumcenter. For each of the following questions, take a screenshot and write a sentence with your conjecture. a. For what shape of triangles is the circumcenter outside the triangle? b. For what shape of triangles is the circumcenter on the triangle? c. For what shape of triangles is the circumcenter inside the triangle?

Elementary Geometry For College Students, 7e
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Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter5: Similar Triangles
Section5.3: Proving Triangles Similar
Problem 3E: Classify as true or false: a If the vertex angles of two isosceles triangles are congruent, the...
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Circumcenter. In GeoGebra, construct a triangle ABC and the circumcenter O. Move the vertices A, B, C around and observe
possible locations for the circumcenter. For each of the following questions, take a screenshot and write a sentence with
your conjecture.
a. For what shape of triangles is the circumcenter outside the triangle?
b. For what shape of triangles is the circumcenter on the triangle?
c. For what shape of triangles is the circumcenter inside the triangle?
Transcribed Image Text:Circumcenter. In GeoGebra, construct a triangle ABC and the circumcenter O. Move the vertices A, B, C around and observe possible locations for the circumcenter. For each of the following questions, take a screenshot and write a sentence with your conjecture. a. For what shape of triangles is the circumcenter outside the triangle? b. For what shape of triangles is the circumcenter on the triangle? c. For what shape of triangles is the circumcenter inside the triangle?
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