Geometry Flashcard: Bisectors and Triangles

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Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a bisector in geometry?
Back
A bisector is a line, ray, or segment that divides an angle or a segment into two equal parts.
2.
FLASHCARD QUESTION
Front
What is the point of concurrency in a triangle?
Back
The point of concurrency is the point where three or more lines intersect. In triangles, common points of concurrency include the centroid, circumcenter, incenter, and orthocenter.
3.
FLASHCARD QUESTION
Front
Define circumcenter.
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.
4.
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.
5.
FLASHCARD QUESTION
Front
What does it mean for a point to be equidistant from the sides of a triangle?
Back
It means that the distance from the point to each side of the triangle is the same.
6.
FLASHCARD QUESTION
Front
How do you find the circumradius of a triangle?
Back
The circumradius (R) can be found using the formula R = (abc)/(4K), where a, b, and c are the lengths of the sides of the triangle and K is the area of the triangle.
7.
FLASHCARD QUESTION
Front
What is the relationship between the incenter and the sides of a triangle?
Back
The incenter is the center of the circle inscribed in the triangle, and it is equidistant from all three sides.
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