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

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The incenter is the point where the angle bisectors of a 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 is the point where the perpendicular bisectors of the sides of a triangle intersect, and it is equidistant from all three vertices.
3.
FLASHCARD QUESTION
Front
What special segments intersect at the incenter?
Back
The angle bisectors of the triangle.
4.
FLASHCARD QUESTION
Front
What special segments intersect at the circumcenter?
Back
The perpendicular bisectors of the sides of the triangle.
5.
FLASHCARD QUESTION
Front
What is a key property of the circumcenter?
Back
The circumcenter is equally distant from all three vertices of the triangle.
6.
FLASHCARD QUESTION
Front
How can you find the incenter of a triangle?
Back
By constructing the angle bisectors of the triangle and finding their intersection point.
7.
FLASHCARD QUESTION
Front
How can you find the circumcenter of a triangle?
Back
By constructing the perpendicular bisectors of the sides of the triangle and finding their intersection point.
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