Centroid
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the centroid of a triangle?
Back
The centroid is the point where the three medians of a triangle intersect, and it is also the center of mass of the triangle.
Tags
CCSS.HSG.CO.C.10
2.
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
3.
FLASHCARD QUESTION
Front
How many medians does a triangle have?
Back
A triangle has three medians, one from each vertex.
Tags
CCSS.HSG.CO.C.10
4.
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 opposite side.
Tags
CCSS.HSG.CO.C.10
5.
FLASHCARD QUESTION
Front
If the length of a median is 12, what is the distance from the centroid to the vertex?
Back
The distance from the centroid to the vertex is 8, as the centroid divides the median in a 2:1 ratio.
Tags
CCSS.HSG.CO.C.10
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
Can a segment be both a median and an altitude?
Back
Yes, in an isosceles triangle, the median from the vertex angle to the base is also an altitude.
Tags
CCSS.HSG.CO.C.10
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