A | B |
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 congruent | What 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. |