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Geometry Definition and Postulate 1A

AB
Symmetric property:if a=b, then b=a
Midpoint theorem:if m is the midpoint of AB, then AM=1/2 AB and MB=1/2AB
Angle bisector theorem:if BX is the bisector of
perpendicular bisector of a segment:A line, segment or ray that is perpendicular to the segment at its midpoint.
Altitude of a triangle:The perpendicular segment from a vertex to the line containing the opposite side.
Median of a triangle:A segment from a vertex of a triangle to the midpoint of the opposite side.
Between:If B is between A and C, the B must be on
Segment:Segment AC consists of points A,C and all points between.
All right angles are congruentWhat angles are congruent?
Properties of congruence:Reflexive; Symmetric; Transitive property
Midpoint theorem:if m is the midpoint of AB, then AM=1/2 AB and MB=1/2AB
Angle bisector theorem:if BX is the bisector of
perpendicular bisector of a segment:A line, segment or ray that is perpendicular to the segment at its midpoint.
Opposite rays:SR and ST are opposite rays if S is between R and T
Ruler Postulate:points on a line can be paired with real numbers that any 2 points can be paired with coordinates 0, 1. 2. Once a coordinate system is chosen, distance between any 2 points is the absolute value of their coordinates’ difference.
Segment addition postulate:If B is between A and C then AB+BC=AC
Angles:formed by 2 rays that have the same endpoint.
Angle addition postulate:If point B lies in the interior of
Adjacent angles:2 angles in a plane with a common vertex and side but no common interior point.
Bisector of and angle:A ray divides an angle into 2 congruent adjacent parts.


Chinese Bilingual Teacher, grades 6 to 12
West Windsor-Plainsboro High School South / Community Middle School
Princeton Jct., NJ

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