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Definition
a perpendicular segment from a vertex to the line containing the side opposite that vertex |
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Definition
the point of intersection of the medians of that triangle |
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circumcenter (of a triangle) |
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Definition
the point of concurrency of the perpendicular bisectors of the sides of a triangle |
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Definition
a circle is circumscribed about a polygon of the vertices of the polygon are on the circle; a polygon is circumscribed about a circle if all the sides of the polygon are tangent to the circle |
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Definition
when three or more lines intersect at one point (they are concurrent) |
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Definition
the contrapositive of the conditional "if p, then q" is "if not q, then not p"; contrapositive and its conditional have the same truth value |
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Definition
the style of proof of using coordinate geometry and algebra |
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Term
distance from a point to a line |
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Definition
the length of the perpendicular segment from the point to the line |
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Term
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Definition
statements with the same truth value |
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Definition
point of concurrency of the angle bisectors of the triangle |
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Term
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Definition
solving a proof using indirect reasoning |
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Term
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Definition
reasoning by which all possibilities are considered and then all but one are proved false |
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Definition
an angle is inscribed in if the vertex of the angle is on the circle and the sides of the angle are chords of the circle |
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Definition
the inverse of "if p, then q" is if not p, then not q" |
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Definition
segment that has endpoints at the vertex of the triangle and the midpoint of the opposite side |
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Term
midsegment (of a triangle) |
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Definition
the segment that joins the midpoint of two sides of the triangle |
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Definition
the negation of a statement has the opposite meaning of the original statement |
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orthocenter (of a triangle) |
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Definition
the point of intersection of the lines containing the altitudes of the triangle |
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Term
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Definition
the point at which lines intersect |
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