Term
| triangle midsegment theorem |
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Definition
| if a segment joins the midpoints of 2 sides of a triangle, then the segment is parallel to the 3rd side, and is 1/2 it's length. |
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Term
| perpendicular bisect theorem |
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Definition
| if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment |
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Term
| converse of the perpendicular bisect theorem |
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Definition
| if a point is equidistant from the endpoints of a segment then it is on the perpendicular bisector of the segment. |
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Term
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Definition
| if a point lies on the bisector of an angle, then the point is equidistant from the sides of the angle. |
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Term
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Definition
| The perpendicular bisectors of the sides of a triangle are concurrent at a point equidistant from ther vertices |
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Term
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Definition
| The bisectors of the sides of a triangle are congruent at a point equidistant from the sides. |
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Term
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Definition
| a segment whose endpoints are a vertex of a traingle and a midpoint of the side opposite that vertex. |
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Term
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Definition
| has 1 endpoint at a vertex of a triangle and the other on the line htat contains the side opposite that vetex so that the segment is perpendicular to this line. |
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Term
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Definition
3 angles
3 angle bisectors
3 altitudes |
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Term
| a segment is an angle bisector if and only if |
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Definition
it lies in the ray which bisets an angle of the triangle
its endpoints are the vertex of this angle and a point on the opposite side of that vertex |
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Term
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Definition
| the intersection of the perpendicular bisectors of a triangle |
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Term
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Definition
| 3 or more lines that intersect in a single point |
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Term
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Definition
| the intersection of the angle bisectors of a triangle it is the center of an inscribed circle. is equidistant from the sides of the triangle |
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Term
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Definition
| the point of concurrency of the medians of a triangle. it is also called the "center of gravity. " it is 2/3 of the distance from the vertex to the midpoint of the opposite side. |
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