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 can be inside, on, or outside the triangle depending on the type of triangle.
Tags
CCSS.HSG.CO.C.10
5.
FLASHCARD QUESTION
Front
What are medians in a triangle?
Back
Medians are line segments that connect a vertex of the triangle to the midpoint of the opposite side.
Tags
CCSS.HSG.CO.C.10
6.
FLASHCARD QUESTION
Front
What is the relationship between the centroid and the medians?
Back
The centroid divides each median into two segments, with the segment connecting the centroid to the vertex being twice as long as the segment connecting the centroid to the midpoint of the side.
Tags
CCSS.HSG.CO.C.10
7.
FLASHCARD QUESTION
Front
Which points of concurrency are always inside a triangle?
Back
The incenter and centroid are always located inside the triangle.
Tags
CCSS.HSG.C.A.3
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