Circumcenter
Flashcard
•
Mathematics
•
9th - 12th 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 does the Perpendicular Bisector Theorem state?
Back
The Perpendicular Bisector Theorem states that any point on the perpendicular bisector of a segment is equidistant from the endpoints of that segment.
Tags
CCSS.HSG.CO.C.9
3.
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
4.
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
5.
FLASHCARD QUESTION
Front
If D is the circumcenter, what can be said about segments DA, DB, and DC?
Back
Segments DA, DB, and DC are all equal in length, as they are all radii of the circumcircle.
Tags
CCSS.HSG.C.A.3
6.
FLASHCARD QUESTION
Front
What is a circumcircle?
Back
A circumcircle is a circle that passes through all the vertices of a polygon, specifically a triangle in this context.
7.
FLASHCARD QUESTION
Front
What is the significance of the circumcenter in triangle construction?
Back
The circumcenter is used to construct the circumcircle, which is essential in various geometric constructions and proofs.
Tags
CCSS.HSG.C.A.3
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