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a perpendicular segment from a vertex to the line containing the side opposite that vertex. |
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the centroid of a triangle is the point of intersection of the medians of that trinagle |
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circumcenter of a triangle |
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the point of concurrency of the perpendicular bisectors of the sides of a triangle |
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a circle is ______________ about a polygon if the vertices of the polygon are on the circle. A polycon is ___________ about a circle if all the sides of the plygon are tangent to the circle. |
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three or more lines that meet in one point. |
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the ____________ of the conditional "if p, the q" is the conditional if not q, then not p." a conditional and its ______________ always have the same truth value. |
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Definition
a figure is drawn on a coordinate plane and the formulas for slope, midpoint and distance are used to prove properties of the figure. |
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distance from a point to a line |
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the length of the perpendicular segment from the point to the line. |
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statements with the same truth value |
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the point of concurrency of the angle bisectors of the triangle |
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proof that is soved with indirect reasoning |
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a type of reasoning in which all possibilities are considered an then the unwanted ones are proved false. The remaining possiblilites must be true. |
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a circle is __________ in a plygon if the sides of the polygon are tangent to the circle. A polygon is ________ in a circle if the vertices of the plygon are on the circle. |
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the _______ of the conditional "if p, then q" is the conditional "if not p, then not q." |
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a segment that has as its endpoints a vertex of the triangle and the midpoint of the opposite side. |
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the segment thatjoins the midpoints of two sides of the triangle. |
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the _______ of a statement has the opposite meaning of the original statement. |
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orthocenter of a triangle |
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the point of intersection of the lines containing the altitudes of the triangle. |
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the point at which concurrent lines meet |
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