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Definition
| three or more lines that intersect in one point |
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| the point at which concurrent lines intersect |
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| the perpendicular bisectors of the sides of a triangle are concurrent at a point equidistant from its vertecies |
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Definition
| the bisectors of the angles of a trianle are concurrent at a point equidistant from the sides |
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| Circumcenter of the Triangle |
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Definition
| the point of concurrency of the perpendicular bisectors of a triangle |
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Definition
| is when the triangle is inside the circle |
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Definition
| the point of concurrency of the angle bisectors of a triangle |
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Definition
| is when the circle is inside the triangle |
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Definition
| a segment whose endpoints are a vertex and the midpoint of the opposite side |
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Definition
| The medians of a triangle are concurrent at a point that is two-thirds of the distance from each vertex to the midpoint of the opposite side |
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Definition
| the point of concurrency of the median of a triangle |
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Term
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Definition
the perpendicular segment from a vertex to the line containing the opposite side
*an altitude may lie outside the triangle |
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| Orthocenter of a Triangle |
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Definition
| where the lines containing the altitudes of a triangle are concurrent at |
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Term
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Definition
| The lines that contain the altitudes of a triangle are concurrent. |
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Term
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Definition
| a statement made opposite (is --> not/ vice-versa) |
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Term
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Definition
| the statement formed by negating both the hypothesis and the conclusion |
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Term
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Definition
| the statement formed by bothe exchanging and negating the hypothesis and the conclusion |
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Term
| (Logically) Equivalent Statements |
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Definition
| two statements that are both true or both false |
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Term
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Definition
| all possibilities are considered, but then all but one is false |
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Term
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Definition
involves indirect reasoning
a astatement and its negation are often the only possibilities |
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