Circumcenter, Incenter, centroid, orthocenter
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Mathematics
•
9th Grade
•
Hard
Standards-aligned
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15 questions
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1.
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
2.
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
3.
FLASHCARD QUESTION
Front
What is the centroid of a triangle?
Back
The centroid is the point where the three medians of a triangle intersect. It is the center of mass and divides each median into a 2:1 ratio.
Tags
CCSS.HSG.CO.C.10
4.
FLASHCARD QUESTION
Front
What is the orthocenter of a triangle?
Back
The orthocenter is the point where the three altitudes of a triangle intersect. Its position varies depending on the type of triangle (acute, right, or obtuse).
Tags
CCSS.HSG.CO.C.10
5.
FLASHCARD QUESTION
Front
What is a median in a triangle?
Back
A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side.
6.
FLASHCARD QUESTION
Front
What is an altitude in a triangle?
Back
An altitude is a perpendicular segment from a vertex to the line containing the opposite side.
7.
FLASHCARD QUESTION
Front
What is the relationship between the circumcenter and the 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
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