5.1/5.2 practice CW Center of triangles
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Mathematics
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9th - 10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the centroid of a triangle?
Back
The centroid is the point of concurrency of the medians of a triangle. It is the point where the three medians intersect and is located two-thirds of the distance from each vertex to the midpoint of the opposite side.
Tags
CCSS.HSG.CO.C.10
2.
FLASHCARD QUESTION
Front
What is the circumcenter of a triangle?
Back
The circumcenter is the point of concurrency of the perpendicular bisectors of the sides of a triangle. It is equidistant from all three vertices of the triangle.
Tags
CCSS.HSG.C.A.3
3.
FLASHCARD QUESTION
Front
What is the orthocenter of a triangle?
Back
The orthocenter is the point of concurrency of the altitudes of a triangle. It can be located inside, on, or outside the triangle depending on the type of triangle.
Tags
CCSS.HSG.CO.C.10
4.
FLASHCARD QUESTION
Front
What is the incenter of a triangle?
Back
The incenter is the point of concurrency of the angle bisectors of a triangle. It is equidistant from all three sides of the triangle.
Tags
CCSS.HSG.C.A.3
5.
FLASHCARD QUESTION
Front
If V is the centroid of triangle RST and SV = 6, what is the length of UV if UT = 7.5?
Back
UV = 3.
Tags
CCSS.HSG.CO.C.10
6.
FLASHCARD QUESTION
Front
What is the relationship between the lengths of segments created by the centroid on a median?
Back
The centroid divides each median into two segments, with the longer segment being twice the length of the shorter segment.
Tags
CCSS.HSG.CO.C.10
7.
FLASHCARD QUESTION
Front
How do you find the circumcenter of a triangle?
Back
To find the circumcenter, construct the perpendicular bisectors of at least two sides of the triangle. The point where they intersect is the circumcenter.
Tags
CCSS.HSG.C.A.3
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