Term
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Definition
| perpendicular segment from a vertex to the line containing the side opposite that vertex |
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Term
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Definition
| the point of intersection of the medians of that triangle |
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Term
| 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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Term
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Definition
| A circle is circumscribed about a polygon if 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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Term
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Definition
| three or more lines that meet in one point |
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Term
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Definition
| "if p, then q." "if not q, then not p." |
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Term
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Definition
| style of proof; proves Triangle Mid-segment Theorem |
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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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Term
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Definition
| the point of concurrency of the angle bisectors of the triangle |
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Term
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Definition
| a proof involving indirect reasoning |
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Term
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Definition
| a type of reasoning in which all possibilities are considered and then the unwanted ones are proved false |
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Term
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Definition
| A circle is inscribed in a polygon if the sides of the polygon are tangent to the circle. A polygon is inscribed in a circle if the vertices of the polygon are on the circle |
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Term
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Definition
| "if p, then q." "if not p, then not q." |
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Term
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Definition
| a segment that has its endpoints a vertex of the triangle and the midpoint of the opposite side |
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Term
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Definition
| the segment that joins the midpoints of two sides of the triangle |
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Term
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Definition
| the opposite meaning of the original statement |
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Term
| 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 three or more lines intersect |
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