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When a bisector is also perpendicular to the segment being bisected. |
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Three or more lines that intersect at a common point. |
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The point where concurrent lines intersect.[image]
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In a triangle, a segment from a vertex to the line containing the opposite side and perpendicular to the line containing that side.[image] |
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The points of concurrency of the medians of a triangle.
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The point of concurrency of the perpendicular bisectors of a triangle. It is also equidistant from the vertices of the triangle.
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The point of concurrency for the angle bisectors of a triangle.
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Indirect Proof or Proof by Contradiction |
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A proof where you temporarily assume that what you are trying to prove is false. |
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A method of reasoning that assumes a conclusion to be false and then showing that the assumption leads to a contradiction. |
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A segment with endpoints being a vertex of a triangle and the midpoint of the opposite side.
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The intersection of concurrent lines containing the altitudes of a triangle.
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