Term
| Perpendicular Bisector Conjecture |
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Definition
| If a point is on the perpendicular bisector of a segment, then it is equidistant from the end points. |
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Term
| Converse Perpendicular Bisector Conjecture |
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Definition
| If a point is equidistant from the endpoints, then it is on the perpendicular bisector of a segment. |
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Term
| Shortest Distance Conjecture |
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Definition
| The shortest distance from a point to a line is measured along the perpendicular segment from the point to the line. |
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Term
| Angle Bisector Conjecture |
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Definition
| If a point is on the bisector of an angle, then it is equidistant from the sides of an angle. |
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Term
| Angle Bisector Concurrency Conjecture |
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Definition
| The three angle bisectors of a triangle are concurrent. |
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Term
| Perpendicular Bisector Concurrency Conjecture |
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Definition
| The three perpendicular bisectors of a triangle are concurrent. |
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Term
| Altitude Concurrency Conjecture |
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Definition
| The altitudes of a triangle are concurrent. |
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Term
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Definition
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Term
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Definition
| The circumcenter of a triangle is equidistant to the vertices of a triangle. |
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Term
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Definition
| The incenter of a triangle is equidistant from the sides of the triangle. |
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Term
| Median Concurrency Conjecture |
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Definition
| The three medians of a triangle are concurrent. |
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Term
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Definition
| The centroid divides each median into two parts so that the distance from the vertex is twice the distance from the centroid to the midpoint of the opposite side. |
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Term
| Center of Gravity Conjecture |
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Definition
| The centroid of a triangle is the center of gravity of the triangular region. |
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