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18 Cards in this Set
- Front
- Back
midsegment
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the segment connecting the midpoint of 2 sides of a triangle
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Triangle Midsegment Theorem
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if a segment joins the midpoints of 2 sides of a trianlge, then the segment is parallel to the 3rd side and half its length
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perpendicular bisector theorem
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if a point lies on the perpendicular bisector of a segment, the it is equidistant from the endpoints of the segment
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c. of perpendicular bis. theorem
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if a point is equidistant from the endpoints of the segment, then its on the perpendicular bisector of a segment
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distance from a point to a line
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the length of the perpendicular segment from the point to the line
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angle bisector theorem
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if a point is on the bisector of an angle, then it is equidistant from the sides of the angle
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c. of anvlge bis. theorem
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if a point is equidistant from the sides of an angle, then it is on the angle bisector
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concurrent
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when 3 or more lines intersect in 1 point
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point of concurrency
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a point of intersection of a set of 3 ore more lines or segments
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circumcenter
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the point of concurrency of the perpendicular bisectors
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theorem 5-6
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the perpendicular bisectors of the sides of a triangle are concurrent at a point equidistant from the vertices
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incenter
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the point of concurrency of the angle bisectors of a triangle
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theorem 5-7
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the angle bisectors of a trianlge are concurrent at a point equidistant from the sides
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median
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a segment whose endpoints are at a vertex and the midpoint of the opposite side
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centroid
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the point of concurrency of 3 medians
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theorem 5-8
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the medians of a triangle are concurrent at a point that is 2/3 the distance from each vertex to the midpoint of the opposite side
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altitude
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the perpendicular segment from a vertex of an angle to the line containing the opposite side
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theorem 5-9
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the lines that contain the altitude of a triangle are congruent
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