2-1+Conditional+Statements

2-1 Conditional Statements
 * Julie Levin**
 * Sammy Rush**


 * Summary:**

This section will teach you how to write a conditional statement,contrapositive statement, the converse statement, the inverse statement, write the statement in "if-then" form, and how to find the hypothesis and conclusion.

__Conditional Statement__: has two parts a hypothesis and conclusion
 * Vocabulary:**

__If-then form__: The "if" part is the hypothesis and the "then" part is the conclusion

__Converse:__ of a conditional statement is formed by switching the hypothesis and conclusion

__negation__: a statement that can be altered

__Inverse__: When you negate the hypothesis and conclusion of a conditional statement

__Contrapositive:__ When you negate the hypothesis and conclusion of the converse of a conditional statement

__Equivalent Statements:__ When two statements are both true or both false

__- Postulate 5__ : Through any two points there exists exactly one line
 * Postulates:**

__- Postulate 6 :__ A line contains at least two points

__- Postulate 7:__ If two lines intersect, then their intersection is exactly one point.

__- Postulate 8 :__ Through any three non collinear points there exists exactly one plane.

__- Postulate 9 :__ A plane contains at least three non collinear points.

__- Postulate 10 :__ If two points lie in a plane, then the line containing them lies in the plane.

__- Postulate 11__: If two planes intersect, then their intersection is a line.

If it is noon in Georgia, then it is 9 a.m in California. Two points are collinear if the lie on the same line. If two segments are congruent, then they have the same length. If there is snow on the ground, then flowers are not in bloom.
 * Sample Problems: (from the textbook)**
 * 1) Which is the hypothesis and which is the conclusion?**
 * 2) Write in "if- then" form**
 * 3) Write the converse of the conditional statement.**
 * 4) Write (a) inverse, (b) converse, and (c) contrapositive.**


 * Solutio****ns: (from the text book)**
 * 1)** If it is noon in Georgia, then i t is 9 a.m. in California.

hypothesis = red Conclusion= blue


 * 2) If** two points lie on the same line, **then** they are collinear.


 * 3) Converse**: If two segments have the same length, then they are congruent.


 * 4) a:** If there is no snow on the ground, then flowers are not in bloom.
 * b:** If flowers are not in bloom, then there is snow on the ground.
 * c:** If flowers are in bloom, then there is no snow on the ground.


 * Helpful Links:**

[|http://www.sparknotes.com/math/geometry3/logicstatements/section3.rhtml]

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