Geometry theorems 1.txt

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Author:
platypie8
ID:
41842
Filename:
Geometry theorems 1.txt
Updated:
2010-10-13 01:27:58
Tags:
Geometry
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Description:
Proofs Theorems One
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  1. Segment addition postulate
    AB + BC = AC
  2. triangle sum theorem
    all angles in a triangle add up to 180 degrees
  3. vertical angle theorem
    vertical angles are congruent.
  4. angle addition postulate
    if angle 3 is made of angles 1 and 2, angle 1 plus angle 2 = angle 3
  5. linear pairs
    if 2 angles are linear pairs, they are supplementary
  6. alternate interior angle theorem
    if two parallel lines are cut by a transversal, the pairs of alternat interior angles are congruent.
  7. alternate exterior angles theorem
    if two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.
  8. same-side interior angles theorem
    if two parallel lines are cut by a transversal, then the two pairs of same-side interior angles are supplementary.
  9. common segments theorem
    AB = CD, then AC = BD
  10. converse corresponding angles postulate
    if two coplanar lines are cut by a transversal so that a pair of corresponding angles are congruent, then the two lines are parallel
  11. purpose of converse of angle theorems:
    convert from equal angles to parallel lines
  12. Perpendicular transversal theorem:
    in a plane, if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
  13. dual perpendicular theorem
    if two coplanar lines are perpendicular to the same line, then the two lines are parallel to each other.
  14. Right angle congruence theorem
    all right angles are congruent
  15. congruent compliments theorem
    if two angles are complementary to the same angle, the two angles are congruent.
  16. congruent supplements theorem
    if two angles are supplementary to the same angle, the two angles are congruent.

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