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Side A ------ Side B
Segment Addition Postulate ------ two segments add up to one bigger 
segment
Angle Addition Postulate ------ two angles add up to one bigger angle
Postulate 5 ------ a line contains at least two points; a plane contains at least three points not all in one line; space contains at least four points not all in one line
Postulate 6 ------ Through any two points there is exactly one line.
Postulate 7 ------ Through any three points there is exactly one plane, and through any three collinear points there is exactly one plane.
Postulate 8 ------ if two points are in a plane, then the line that contains the points is in that plane.
Postulate 9 ------ If two points intersect, their intersection is a line.
Theorem 1-1 ------ If two lines intersect, then they intersect in exactly one point.
Theorem 1-2 ------ Through a line and a point not in the line there is exactly one plane.
Theorem 1-3 ------ If two lines intersect, then exactly one plane contains the lines.
Addition Property ------ If a = b, and c = d then a + c = b +d
Subtraction Property ------ If a = b and c = d then a - c = b - d
Multiplication Property ------ If a = b, then ca =cb
Division Property ------ If a = b, then a/c = b/c
Substitution Property ------ if a = b, then a or b can be substituted for the other in any equation or inequality.
Reflexive Property ------ a = a
Symmetric Property ------ If a = b, then b = a.
Transitive Property ------ If a = b, and b  = c, then a = c.
Midpoint Theorem ------ If M is the midpoint of AB, then AM = 1/2AB
Angle Bisector Theorem ------ If BX is the bisector of <ABC, then m<ABX = 1/2<ABC
Definition of vertical angles ------ vertical angles are congruent
Definition of Perpendicular Lines ------ if lines form congruent adjacent angles or right angles
corresponding angles ------ corresponding angles are congruent
alternate interior angles ------ alternate interior angels are congruent.
SSI angles ------ same side interior angles are supplementary
definition of perpendicular lines ------ If a transversal is perpendicular to one of two paralell lines then it is perpendicular to the other one too.
5 ways to prove two lines are parallel ------ 1. show that corresponding angles are congruent
2. show that alternate interior angles are congruent
3. show that same side interior angles are supplementary
4. show both lines are perpendicular to a third line
5. show that both lines are parallel to a third line
Theorem 3-8 ------ through a point outside a line, there is exactly one line parallel to the given line.
Theorem 3-9 ------ Through a point outside a line, there is exactly one line perpendicular to the given line.
Theorem 3-10 ------ Two lines parallel to a third line are parallel to each other.
Corollary  ------ If two angles of a triangle are congruent to two angles of another triangle, then the triangles are congruent.

Side A ------ Side B
Segment Addition Postulate ------ two segments add up to one bigger 
segment
Angle Addition Postulate ------ two angles add up to one bigger angle
Postulate 5 ------ a line contains at least two points; a plane contains at least three points not all in one line; space contains at least four points not all in one line
Postulate 6 ------ Through any two points there is exactly one line.
Postulate 7 ------ Through any three points there is exactly one plane, and through any three collinear points there is exactly one plane.
Postulate 8 ------ if two points are in a plane, then the line that contains the points is in that plane.
Postulate 9 ------ If two points intersect, their intersection is a line.
Theorem 1-1 ------ If two lines intersect, then they intersect in exactly one point.
Theorem 1-2 ------ Through a line and a point not in the line there is exactly one plane.
Theorem 1-3 ------ If two lines intersect, then exactly one plane contains the lines.
Addition Property ------ If a = b, and c = d then a + c = b +d
Subtraction Property ------ If a = b and c = d then a - c = b - d
Multiplication Property ------ If a = b, then ca =cb
Division Property ------ If a = b, then a/c = b/c
Substitution Property ------ if a = b, then a or b can be substituted for the other in any equation or inequality.
Reflexive Property ------ a = a
Symmetric Property ------ If a = b, then b = a.
Transitive Property ------ If a = b, and b  = c, then a = c.
Midpoint Theorem ------ If M is the midpoint of AB, then AM = 1/2AB
Angle Bisector Theorem ------ If BX is the bisector of <ABC, then m<ABX = 1/2<ABC
Definition of vertical angles ------ vertical angles are congruent
Definition of Perpendicular Lines ------ if lines form congruent adjacent angles or right angles
corresponding angles ------ corresponding angles are congruent
alternate interior angles ------ alternate interior angels are congruent.
SSI angles ------ same side interior angles are supplementary
definition of perpendicular lines ------ If a transversal is perpendicular to one of two paralell lines then it is perpendicular to the other one too.
5 ways to prove two lines are parallel ------ 1. show that corresponding angles are congruent
2. show that alternate interior angles are congruent
3. show that same side interior angles are supplementary
4. show both lines are perpendicular to a third line
5. show that both lines are parallel to a third line
Theorem 3-8 ------ through a point outside a line, there is exactly one line parallel to the given line.
Theorem 3-9 ------ Through a point outside a line, there is exactly one line perpendicular to the given line.
Theorem 3-10 ------ Two lines parallel to a third line are parallel to each other.
Corollary  ------ If two angles of a triangle are congruent to two angles of another triangle, then the triangles are congruent.