Perpendicular Bisectors of Triangles
Flashcard
•
Mathematics
•
10th Grade
•
Hard
+1
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1.
FLASHCARD QUESTION
Front
What is a perpendicular bisector?
Back
A line that divides a segment into two equal parts at a 90-degree angle.
2.
FLASHCARD QUESTION
Front
What is the circumcenter of a triangle?
Back
The point where the perpendicular bisectors of the sides of a triangle intersect.
Tags
CCSS.HSG.C.A.3
3.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 8, 15, and 17, what is the length of the perpendicular bisector from the vertex opposite the longest side?
Back
The length of the perpendicular bisector can be calculated using the formula: (1/2) * sqrt(2a^2 + 2b^2 - c^2), where a and b are the lengths of the other two sides, and c is the length of the side opposite the vertex.
Tags
CCSS.HSG.C.A.3
4.
FLASHCARD QUESTION
Front
What is the relationship between the lengths of segments created by a perpendicular bisector?
Back
The segments created by a perpendicular bisector are equal in length.
Tags
CCSS.HSG.CO.C.9
5.
FLASHCARD QUESTION
Front
If AB = 10 and CD = 10, what is the length of the segment created by the perpendicular bisector of AB and CD?
Back
The length of the segment created by the perpendicular bisector is also 10.
Tags
CCSS.HSG.CO.C.9
6.
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; their intersection point is the circumcenter.
Tags
CCSS.HSG.C.A.3
7.
FLASHCARD QUESTION
Front
What is the significance of the circumcenter in a triangle?
Back
The circumcenter is equidistant from all three vertices of the triangle.
Tags
CCSS.HSG.C.A.3
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