Term
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Definition
of a segment is a line, a ray, or even a plane that is perpendicular to a segment at mid point. |
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Term
perpendicular bisector theorem |
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Definition
if a point is on the perpendicular bisector of segment, then it is equidistant from the endpoints of a segment. |
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Term
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Definition
if a point is on the bisector of an angle, then the point is equidistant from the angle |
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Term
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Definition
if a point in the interior of an angle is equidistant from the sides of the angle, then angle the point is on the angle bisector |
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Perpendicular bisector of a triangle |
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Definition
is a line that is perpendicular to a side of a triangle at the sides of midpoint |
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Term
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Definition
three or more line intersect at one point |
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Term
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Definition
point which the intersect |
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concurrency of perpendicular of bisector |
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Definition
the perpendicular bisector of the side of a triangle are concurrent at point equidistant from the vertices |
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circumcenter of a triangle |
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Definition
the point of concurrency of the perpendicular bisector of this triangle |
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Term
Circumcenter of acute triangle |
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Definition
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Circumcenter of right triangle |
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Definition
on the hypotenuse of the triangle |
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circumcenter of obtuse triangle |
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Definition
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Term
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Definition
is a bisector of an angle of the triangle split the angle in half |
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Concurrency of angle bisector theorem |
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Definition
the bisector of the angles of a triangle are concurrent at a point equidistant from the sides of the triangle |
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Term
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Definition
the point of concurrency of a bisector of a triangle |
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Term
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Definition
is a segment whose endpoints are a vertex and the midpoint of the opposite side. a triangle three median are always cuncurrents |
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Term
conccurrency of the median theorem |
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Definition
the median of a triangle are at a point the is two thirds the distance form each vertex to the midpoint of the opposite sides |
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Term
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Definition
is the perpendicular segment form a vertex of a triangle to the line containing opposite sides. can be inside or outside the triangle to it can be a side of a triangle |
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concurrency of altitudes theorem |
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Definition
the lines that contain the altitudes of a triangle are concurrent |
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Term
Orthocenter of a triangle |
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Definition
the orthocenter of a triangle can be inside,on, or outside the triangle |
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