Term
| Triangle Inequality Theorem |
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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.
AB + BC > AC |
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Term
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Definition
If PA = PB = PC, then P is equidistant
A point from two figures that is the same distance from each figure. |
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Term
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Definition
| point of intersection of lines, rays, or segments |
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Term
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Definition
If AP = BP = CP, then P is the circumcenter
point of concurrency of three perpendicular bisectors of a triangle. |
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Term
| Converse of Angle Bisectr Theorem |
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Definition
| If PA = PC, then P is on the angle bisector. |
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Term
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Definition
| segment, ray, line, or plane that is perpendicular to a segment at its midpoint. A point on the perpendicular bisector is equidistant from endopoints |
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Term
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Definition
BE = EC, so AE is the median
segment whose endpoints are a vertex of the triangle and midpoint of the opposite side |
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