Postulates
Terms
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- overlapping segments theorem
- if ab=cd, then ac=bd
- add. sub. property of equality
- if ab=cd, then ab+bc=bc+cd
- mult. divi. property of equality
- if 2ab=ac, then ab=1/2ac
- if two points are in a plane
- then the line containing them is also in the plane
- symmetric property
- if a=b, then b=a
- substitution property of equality
- repetitive, or on same side
- reflexive property of equality and conguence
- ab=ab
- linear pair property
- if two angles form a linear pair, then they are supplementry
- segement congruent postulate
- if two segments have the same length they are congruent. if two segments are congruent, they have the same length
- The intersection of two lines
- is a point
- distribute property
- if ab+ab=ac, then 2ab=ac
- the intersection of two planes
- is a line
- angle addition postulate
-
if pint C is in the interior of
- through any two points there is exactly
- one line
- through any three noncollinear points
- there is exactly one plane
- segment addition postulate
- if A is between B and C, then AB+BC=AC
- transitive property
- if ab+bc=ac, and ac=14 then ab+bc=14
- linear pair
- if two angles are adjacent and supplementry, then they form a linear pair