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https://docs.google.com/a/agnesirwin.org/document/d/1Fi5npn-7z-fG-_YVBnVEZjuVXVfpjMlEWF8nHEDxFz4/edit?usp=sharing

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Chapter 2 and 5-4

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https://www.pinterest.com/pin/261842165810037002/-Math Teacher Kitteh
http://math-fail.com/2010/11/isoceles-kitteh.html-Isosceles kitteh
https://lifethroughamathematicianseyes.wordpress.com/2014/06/05/maths-and-cats/-Cat Geometry

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Thm. 4-3 Isosceles Triangle and Thm 4-4 Converse Isosceles Triangle
Isosceles Triangle: If 2 sides of a triangle are congruent, then the angles opposite those sides are congruent.
Converse Isosceles Triangle: If 2 angles of a triangle are congruent, then the sides opposite those angles are congruent.

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Conditional Statement: If a light is on, then it is bright in the room. -true
A) In the library the lights were on at one o'clock. Conclusion: Therefore using the Law of Detachment we can say that at one o'clock it was bright in the library.
B) It was bright in her room.
We can't use Law of Detachment because that is the conclusion, we can't do anything else. Don't try to make the hypothesis!!

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If something meows then it is a cat. If something is a cat then it is an animal. Therefore, if something meows, then it is an animal.

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Inductive- making conclusions off of patterns
Deductive-making conclusions based on true statements.
Law of Detachment: If a conditional is true and the hypothesis is true, then the conclusion is true
Law of Syllogism: If p=q and q=r then p=r

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Hypothesis-the stuff after the "if"
Conclusion: the stuff after the "then'
Conditional: if-then statement
Converse-switches the hypothesis and conclusion
Biconditional-can only be found when both a conditional and its converse are true, using the phrase "if and only if"
Contrapositive- Negate both hypothesis and conclusion of conditional statement and switch their places; negate the converse statement
Inverse- negate both hypothesis and conclusion of a conditional statement.
Negate: To make the opposite truth value, often done by inserting "not"
Truth Value: How true the statement is, Contrapositive and Conditional should always have the same truth value, and Converse and Inverse should have the same truth value.

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Conditional: If you live in Philadelphia Pennsylvania, then you live in the United States. Truth value: True
Inverse: If you do not live in Philadelphia Pennsylvania, then you do not in The United States. Truth Value: False, you could live in Florida which is in the US.
Converse: If you live in the United States, then you live in Philadelphia Pennsylvania. Truth value: false, you could live in Washington State which is in the US.
Contrapositive: If you do not live in the United States, then you do not live in Philadelphia Pennsylvania. Truth Value: True
Biconditional: An angle measures 90 degrees if and only if it is a right angle. OR An angle is a right angle if and only if it measures 90 degrees.