# Geometry

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1. Postulate 2-1
Through any 2 points there is exactly 1 line
2. Postulate 2-2
Through any 3 collinear points there its exactly 1 plane
3. Postulate 2-3
A line contains at least 2 points
4. Postulate 2-4
A plane contains at least 3 points, not all on the same line
5. Postulate 2-5
If 2 points lie on a plane, then the entire line containing those 2 points lies in that plane
6. Postulate 2-6
2 lines intersect in exactly one point
7. Postulate 2-7
2 planes intersect in a line
8. Midpoint Theorem
If M is mp of (segment) AB then (segment) AM is congruent to (segment) MB
9. Ruler Postulate
The points on any line or line segment can be paired with real numbers so that given any 2 points, A and B on a line, A corresponds to zero, and B corresponds to a positive real number
• If A, B and C are collinear and B is between A and C, then AB + BC= AC.
• If AB+BC=AC then B is between A and C.
11. Theorem 2.2
Congruence of segments is reflexive, symmetric & transitive
12. Protractor Postulate
Given (ray) AB and a number r between 0 and 180, there is exactly one ray with endpoint A, extending on either side of (ray) AB, such that the measure of the angle formed is r.
If R is in the interior of <PQS then the m<PQR and the m<RQS= the m<PQS
14. Supplement Theorem
If 2 <'s form a linear pair, then they are supplemenetary
15. Complement Theorem
If the noncommon sides of 2 adjacent angles form a right angle, then the angles are complementary angles.
16. Theorem 2.6
Angles supplementary to the same angle or to congruent angles are congruent
17. Theorem 2.7
Angles complementary to the same angle or to congruent angles are congruent
18. Theorem 2.9
Perpendicular lines intersect to form 4 right anlges
19. Theorem 2.10
ALL right angles are congruent
20. Theorem 2.11
Perpendicular lines form congruent adjacent angles.
21. Theorem 2.12
If 2 <'s are congruent and supplementary, then each angle is a right angle
22. Theorem 2.13
If 2 congruent <'s form a linear pair, then they are right angles.
23. Vertical Angles's Theorem (2.8)
Vertical Angles are Congruent
 Author: kristajrco8 ID: 45832 Card Set: Geometry Updated: 2010-10-29 04:05:49 Tags: theorems postulates Folders: Description: theorems and postulates Show Answers: