Do Now 5.5 Centers of Triangles review

Flashcard
•
Mathematics
•
10th Grade
•
Hard
+1
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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
If AC = 42, what is the length of DF if D is the midpoint of AC?
Back
DF = 21, since D is the midpoint, DF is half of AC.
Tags
CCSS.HSG.CO.C.10
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
If G is the centroid of triangle ABC and AC = 32, what is the length of CE?
Back
CE = 16, since the centroid divides the median in a 2:1 ratio.
Tags
CCSS.HSG.CO.C.10
5.
FLASHCARD QUESTION
Front
What is the relationship between the circumcenter and the vertices of a triangle?
Back
The circumcenter is equidistant from all three vertices of the triangle.
Tags
CCSS.HSG.C.A.3
6.
FLASHCARD QUESTION
Front
How do you find the length of a segment in a triangle given the lengths of other segments?
Back
Use properties of triangle segments, such as the centroid dividing medians or the circumcenter's equidistance from vertices.
Tags
CCSS.HSG.CO.C.10
7.
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
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