Warm Up March 12, 2014. B. D , E, and F are midpoints. 8. 10. What is th e length of AB What is length of CD. E. D. 4. G. 8. C. A. F. EOCT Week 9 #3. Conditional Statements. Also known as logic statements. Types: Conditional, Inverse, Converse, & Contrapositive.
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D, E, and F are midpoints.
What is the length of AB
What is length of CD
Also known as logic statements.
Types: Conditional, Inverse, Converse, & Contrapositive
* Do not include if and then in the hypothesis and conclusion.
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1. If it is Saturday, then Beckham plays soccer.
2. If points are collinear, then they lie on the same line.
A statement can be altered by negation by writing the negative of the statement
When you negate the hypothesis and conclusion of a conditional statement, you form the inverse.
Conditional- If a figure is a triangle, then it has three angles.
* Not all four sided figures are squares. Rectangles also have four sides.
Giving at least 1 example that disproves the statement.
(SWITCH the order and NEGATE)
Conditional: p → q
Inverse: ~p → ~ q
Converse: q → p
Contrapositive: ~ q → ~ p
Decide whether the statement is true or false. If false, give a counterexample as to why it’s false.
STMT: If you are a basketball player, then you are an athlete.
False, not all athletes play basketball. Could play baseball, golf, tennis, swim, etc.
False, even if you don’t play basketball, you can still be an athlete. Again, could play baseball, golf, tennis, swim, etc.