The sum of the measures of the interior angles of a triangle is 180 degrees
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Congruent
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Having the same size and shape
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parallel lines
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lines in the same plane that never intersect
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Vertical Angles
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A pair of opposite congruent angles formed by intersecting lines
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Transitive property
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If a=b and b=c, then a=c
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Supplementary angles
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Two angles whose sum is 180 degrees
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Line segment
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A part of a line with two endpoints
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Angle addition postulate
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If P is in the interior of <RST, then m<RSP + m<PST = m<RST
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corresponding angles
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Angles formed by a transversal cutting through 2 or more lines that are in the same relative position.
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Linear Pair
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A pair of adjacent angles whose noncommon sides are opposite rays.
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transversal
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a line that intersects two or more coplanar lines at different points
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alternate exterior angles
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Angles that lie outside a pair of lines and on opposite sides of a transversal.
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Line
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1. A long thin mark on a surface. 2. A continuous extent of length, straight or curved, without breadth or thickness; the trace of a moving point. 3. Long, narrow mark or band.
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Segment addition postulate
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If B is between A and C, then AB + BC = AC
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alternate interior angles
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angles between 2 lines and on opposite sides of a transversal
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same side interior angles
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two interior angles on the same side of the transversal
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Collinear
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Points that lie on the same line
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Complementary angles
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Two angles whose sum is 90 degrees
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Angle bisector
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a ray that divides an angle into two congruent angles
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Midpoint
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A point that divides a segment into two congruent segments
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Substitution property
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If a=b, then a can be substituted for b in any equation or expression
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same side exterior angles
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two exterior angles on the same side of the transversal
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Segment bisector
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a segment, ray, line, or plane that intersects a segment at its midpoint