What is the definition of the incenter of a triangle?
Incenter and Circumcenter

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Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The incenter of a triangle is the point where the angle bisectors of the triangle intersect, and it is equidistant from all three sides of the triangle.
2.
FLASHCARD QUESTION
Front
What is the definition of the circumcenter of a triangle?
Back
The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of the triangle intersect, and it is equidistant from all three vertices of the triangle.
3.
FLASHCARD QUESTION
Front
How can you find the incenter of a triangle?
Back
To find the incenter of a triangle, construct the angle bisectors of each of the triangle's angles. The point where all three angle bisectors intersect is the incenter.
4.
FLASHCARD QUESTION
Front
How can you find the circumcenter of a triangle?
Back
To find the circumcenter of a triangle, construct the perpendicular bisectors of each side of the triangle. The point where all three perpendicular bisectors intersect is the circumcenter.
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 is the relationship between the circumcenter and the vertices of a triangle?
Back
The circumcenter is equidistant from all three vertices of the triangle.
7.
FLASHCARD QUESTION
Front
What segments intersect at the incenter of a triangle?
Back
The angle bisectors of the triangle intersect at the incenter.
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