5-1 Circumcenter & Incenter

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•
Mathematics
•
9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the incenter of a triangle?
Back
The incenter of a triangle is the point where the three angle bisectors intersect. It is equidistant from all sides of the triangle.
2.
FLASHCARD QUESTION
Front
What is the circumcenter of a triangle?
Back
The circumcenter of a triangle is the point where the three perpendicular bisectors of the sides intersect. It is equidistant from all three vertices of the triangle.
3.
FLASHCARD QUESTION
Front
How do you find the circumcenter of a triangle?
Back
To find the circumcenter, construct the perpendicular bisectors of at least two sides of the triangle. The point where they intersect is the circumcenter.
4.
FLASHCARD QUESTION
Front
How do you find the incenter of a triangle?
Back
To find the incenter, construct the angle bisectors of at least two angles of the triangle. The point where they intersect is the incenter.
5.
FLASHCARD QUESTION
Front
What is the relationship between the incenter and the sides of a triangle?
Back
The incenter is equidistant from all three sides of the triangle.
6.
FLASHCARD QUESTION
Front
What theorem is used to find distances related to the circumcenter?
Back
The Perpendicular Bisector Theorem is used to find distances related to the circumcenter.
7.
FLASHCARD QUESTION
Front
What theorem is used to find distances related to the incenter?
Back
The Angle Bisector Theorem is used to find distances related to the incenter.
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