Term
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Definition
| is a line, segment, a ray, or even a plane that is perpendicular to the segment at its midpoint |
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Term
| perpendicular bisector theorem |
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Definition
| if a point is on the line perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. |
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Term
| converse of the perpendicular bisector theorem |
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Definition
| if a point is equdistant 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 is on the bisector of an angle, then the point is equidistant from the side of the angle |
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Term
| converse of the angle bisector theorem |
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Definition
| if a point in the interior of an angle is equidistant fron the side of the angle, then the point is on the angle bisector |
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Term
| Perpendicular bisector of a triangle |
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Definition
| is a line(or a segment, a ray, or a plane) that is perpendicular to ta side of the triangle at the side's midpoint |
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Term
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Definition
| when three or more lines intersect a one point, the are ...... |
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Term
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Definition
| the point at which they intersect in called the point of .... |
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Term
| Concurrency of Perpendicular Bisectors Theorem |
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Definition
| The perpendicular bisectors of the sides of a triangle are concurrent at a point equidistant from the vertices. |
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Term
| Circumcenter of the triangle |
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Definition
| The circle is circumscribed about the triangle. P, the point of concurrency of the perpendicular bisectors of this triangle, is also. |
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Term
| the circumcenter of a acute, right, obtuse triangle |
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Definition
acute right obtuse
inside on the hypotenuse outside |
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Term
| angle bisector of a triangle |
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Definition
| is a bisector of an angle of the triangle. |
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Term
| concurrency of angle bisector theorem |
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Definition
| the bisector of the angles of a triangle are concurrent at a point equidistant from the side of the triangle. |
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Term
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Definition
| the point of concurrency of the bisector of a triangle. |
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Term
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Definition
| is a segment whose endpoints are vertex and the midpoint of the opposite side. |
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Term
| concurrency of medians theorem |
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Definition
| the medians of a triangle are concurrent at a point that is two-thirds the distance from each vertex of the midpoint of the opposite side. |
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Term
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Definition
| is the perpendicular segment from a vertex of the triangle to the line containing the opposite side |
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Term
| concurrency of altitude theorem |
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Definition
| the lines that contain the altitudes of a triangle are concurrency |
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Term
| orthocenter of a triangle |
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Definition
| the lines that contain the altitude of a triangle are concurrency at the orthocenter. the orthocenter of a triangle can be inside, on, or outside the triangle. |
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