# Math Chapter 2

The flashcards below were created by user deamon on FreezingBlue Flashcards.

1. Define: Conjecture
an unproven statement that is based on observations
2. Define: Inductive reasoning
when you find a pattern in specific cases and then wright a conjecture for the general cause
3. Define: Counterexample
a specific case for which the conjecture is false
4. what is the counterexample in...

2x>x
• 2(-1)>-1
• -2>-1 False
5. Define: conditional statement
• a logical statement that has 2 parts, a hypothesis and a conclusion. It is written in a
• if-then form
6. Define: biconditional statements
a statement that contains the phrase "if and only if"

• Example: an angle is a right angle if and only if its angle measurement is equal to
• 90 degrees
7. Define: law of syllogism
• if hypothesis A, then conclusion B
• if hypothesis B, then conclusion C
• if hypothesis A, then conclusion C
8. Define: law of detachment
Law of Detachment ( also known as Modus Ponens (MP) ) says that if p=>q is true and p is true, then q must be true.

• example:If an angle is obtuse, then it cannot be acute.
• Angle A is obtuse.
• ThereforeAngle A cannot be acute.
9. Postulate 1: ruler postulate
The points of a line can be matched one to one with the real numbers. The real numbers that correspond to a point is the coordinate
10. Postulate 2: segment addition postulate
• If B is between A and C, then AB+BC=AC
• If AB+BC=AC, then B is between A and C
11. Postulate 4: angle addition postulate
If P is in the interion of <RST, then the measure of <T=RST is equal to the sum of the measure of <RSP and <PST
12. Postulate 5
Through any two points there exists exactly one line
13. Postulate 6
A line contains at least two points
14. Postulate 7
If two lines intersect, then their intersection is exactly one point
15. Postulate 8
through any three noncolinear points there exists exactly one plane
16. Postulate 9
A plane contains at least three noncolinear points
17. Postulate 10
If two points lie in a plane, then the line containing them lies in the plane
18. Postulate 11
If two planes intersect, then their intersection is a line
19. Define: line perpendicular to a plane
a line perpendicular to a plane if and only if the three line intersects in a point ane is perpendicular to every line in that planethat intersects it at that point
If a=b, then a+c=b+c
21. subtraction property
If a=b, then a-c=b-c
22. multiplication property
If a=b, then ac=ab
23. division property
If a=b and c is not equal to 0, then a/c=b/c
24. Subsitution property
If A=b, then "A" can be subsituted for b in any equation or expression
25. Distributive property
a(b+c)=ab+ac, where a, b, and c, are real numbers
26. Reflexive property
A=A
27. Symmetric property
If a=b, then b=a
28. Transative property
If a=b and b=c, then a=c
29. Theorm 2.3: Right angles congruence theorem
All right angle are congruent
30. Theorem 2.4: congruent supplements theorem
If two angles are supplementry to the same angle, then they are congruent
31. Theorem 2.5: congruent complements theorem
If two angles are complementry to the same angle , then they are congruent
32. Postulate 12: linear pair postulate
If two angles form a linear pair, then they are supplementary
33. Theorem 2.6: vertical angles congruence theorem
Vertical angles are congruent
 Author: deamon ID: 38805 Card Set: Math Chapter 2 Updated: 2010-09-30 23:48:14 Tags: Tx Chapter Folders: Description: to help study for math in texas geometry 2 Show Answers: