Theorems, Postulates, Definitions, etc. (Ch. 5)
Terms
undefined, object
copy deck
- whole greater than part theorem
- if a>0, b>0, and a+b=c, then c>a and c>b
- multiplication property
- if a>b and c>0, then ac > bc
- Theorem 12 (exterior angle)
- an exterior angle of a triangle is greater than either remote interior angle
- transitive property
- if a>b and b>c, then a>c
- addition theorem of inequality
- if a>b and c>d, then a+c > b+d
- three possibilities property
- either a>b, a=b, or a
- Theorem 15 (triangle inequality)
- sum of any two sides of a triangle is greater than the third side
- addition property
- if a>b, then a+c > b+c
- division property
- if a>b and c>0, then a/c > b/c
- Theorem 14
- if two angles of a triangle are unequal, the sides opposite them are unequal in the same order
- Theorem 13
- if two sides of a triangle are unequal, the angles opposite them are unequal in the same order
- exterior angle
- an angle that forms a linear pair with an angle of the triangle
- subtraction property
- if a>b, then a-c > b-c