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 divides each median into a ratio of 2:1.
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 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 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
If BF = 10 in triangle ABC, what is AF if CF, BE, and AD are the medians?
Back
AF = 10, since the centroid divides each median in a 2:1 ratio.
Tags
CCSS.HSG.CO.C.10
7.
FLASHCARD QUESTION
Front
In triangle XYZ, if YC = 15 and XP = 8, what is PC?
Back
PC = 4, since the centroid divides the median in a 2:1 ratio.
Tags
CCSS.HSG.CO.C.10
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