Term
| Perpendicular Bisector Thereom |
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Definition
| If a point is on the perpendicular bisector of a segment, then it is quidistnat from the endpoints of the segment. |
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Term
| Perpendicular Bisector Converse |
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Definition
| If a point is equidistant from the endpoints of a segment, then it lies on the perpendicular bisector of the segment. |
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Term
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Definition
| If a point is on the bisector of an angle, then it is equidistant from the two siddes of the angle |
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Term
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Definition
| If a point is in the interior of an angle and equidistant from the sides of an angle, then it lies on the bisector of the angle. |
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Term
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Definition
| The lines containing the perpendicular bisectors of a triangle are concurrent. The circumcenter is equidistant from the vertices of the triangle. |
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Term
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Definition
| The angle bisectors of a triangle are concurrent. The incenter is euidistant from the three sides of the triangle |
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Term
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Definition
| The medians of a triangle are concurrent. The centroid is two-thirds of the distance from each vertex to the midpoint of the opposite side |
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Term
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Definition
| The lines containing the altitudes of a triangle are concurrent. |
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Term
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Definition
| The segment connecting the midpoints if two sides of a triangle is parallel to the third side and is half its lenght |
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Term
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Definition
| The sum of the lengths of any two sides of a triangle is greater than the length of the third side |
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Term
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Definition
| If two sides of one triangle are concurrent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first is longer thna the third side of the second. |
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Term
| Converse of Hinge Thereom |
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Definition
| If two sides of one triangle are congruent to two sides of another triangle, and the third side of the first is longer than the third side of the second, then the included angle of the first is larger than the included angle of the second |
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