incenter and circumcenter Review
Flashcard
•
Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the incenter of a triangle?
Back
The incenter is the point where the angle bisectors of a triangle intersect. It is equidistant from all three sides of the triangle.
Tags
CCSS.HSG.C.A.3
2.
FLASHCARD QUESTION
Front
What is the circumcenter of a triangle?
Back
The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect. It is equidistant from all three vertices of the triangle.
Tags
CCSS.HSG.C.A.3
3.
FLASHCARD QUESTION
Front
What is a key property of the incenter?
Back
The distance from the incenter to each side of the triangle is the same.
Tags
CCSS.HSG.C.A.3
4.
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.
Tags
CCSS.HSG.C.A.3
5.
FLASHCARD QUESTION
Front
What is the relationship between the incenter and the triangle's incircle?
Back
The incenter is the center of the incircle, which is the circle inscribed within the triangle that touches all three sides.
Tags
CCSS.HSG.C.A.3
6.
FLASHCARD QUESTION
Front
What is the relationship between the circumcenter and the triangle's circumcircle?
Back
The circumcenter is the center of the circumcircle, which is the circle that passes through all three vertices of the triangle.
Tags
CCSS.HSG.C.A.3
7.
FLASHCARD QUESTION
Front
If the lengths of the sides of a triangle are known, how can you find the inradius?
Back
The inradius can be found using the formula: r = A/s, where A is the area of the triangle and s is the semi-perimeter.
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