Which of the following statements are correct? Select all that apply. Only two of three angle bisectors of the internal angles of a triangle are concurrent. The circumcenter of a triangle is the point where the perpendicular bisectors of the sides meet. Given any three non-collinear points, there exists exactly one circle that passes through the points. A circumscribed circle is the circle that passes through all three vertices of a triangle and it is the smallest triangle contained within any triangle. The incenter of a triangle is the point where the angle bisectors meet.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section: Chapter Questions
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Which of the following statements are correct? Select all that apply.
Only two of three angle bisectors of the internal angles of a
triangle are concurrent.
The circumcenter of a triangle is the point where the
perpendicular bisectors of the sides meet.
Given any three non-collinear points, there exists exactly one
circle that passes through the points.
A circumscribed circle is the circle that passes through all three
vertices of a triangle and it is the smallest triangle contained within
any triangle.
The incenter of a triangle is the point where the angle bisectors meet.
Transcribed Image Text:Which of the following statements are correct? Select all that apply. Only two of three angle bisectors of the internal angles of a triangle are concurrent. The circumcenter of a triangle is the point where the perpendicular bisectors of the sides meet. Given any three non-collinear points, there exists exactly one circle that passes through the points. A circumscribed circle is the circle that passes through all three vertices of a triangle and it is the smallest triangle contained within any triangle. The incenter of a triangle is the point where the angle bisectors meet.
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