What is the centroid of a triangle?
Sect. 6.3 Medians and Centroids

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Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The centroid of a triangle is the point where the three medians intersect. It is also the center of mass of the triangle.
2.
FLASHCARD QUESTION
Front
How does the centroid divide each median in a triangle?
Back
The centroid divides each median into two segments, with the shorter segment being one third the length of the entire median.
3.
FLASHCARD QUESTION
Front
If G is the centroid and BE = 18, what is the length of BG?
Back
12
4.
FLASHCARD QUESTION
Front
If G is the centroid and GF = 4, what is the length of GC?
Back
8
5.
FLASHCARD QUESTION
Front
If G is the centroid and GE = 7, what is the length of BE?
Back
21
6.
FLASHCARD QUESTION
Front
What is the relationship between the lengths of the segments created by the centroid on a median?
Back
The centroid divides the median into a ratio of 2:1, where the longer segment is twice the length of the shorter segment.
7.
FLASHCARD QUESTION
Front
If ZO = 24 and SZ = 3a - 9, how do you find the value of a?
Back
Set up the equation: 3a - 9 = 24, then solve for a to get a = 11.
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