Warm Up 09.26.11 Week 7 1) find the slope between the two points: ( 2, -9 ) and ( -13, 21 )

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Warm Up Week 7 1) find the slope between the two points: ( 2, -9 ) and ( -13, 21 )

Geometry 2.3 Day 1 I will use symbolic notation to represent logical statements. hypothesis p Reads as “implies” ( then ). → conclusion q If the sun is out, then the weather is good. p q If p then q. p → q Ex 1 Conditional Statement:

Biconditional Statement: Converse Statement: If the weather is good, then the sun is out. p q Ex 2 q → p If q then p. p if and only if q. p ↔ q Ex 3

p : The value of x is -5. If the value of x is -5, then the absolute value of x is 5. Ex 4 Write p → q in words. q : The absolute value of x is 5. Write q → p in words. If the absolute value of x is 5, then the value of x is -5.

Negation: Ex 5 ∼ the symbol for negation Statement: p ∠ 3 measures 90⁰. ∼p∼p ∠ 3 does not measure 90⁰. ∠ 3 is not acute. q ∠ 3 is acute. ∼q∼q

Ex 6 p: “the car will start.” Converse: Inverse: Conditional Statement: Contrapositive: q → p p → q q: “the battery is charged.” If the car will start, then the battery is charged. If the battery is charged, then the car will start. ∼ p → ∼ q If the car will not start, then the battery is not charged. ∼ q → ∼ p If the battery is not charged, then the car will not start.

Do: 1 Write the conditional, converse, inverse and contrapositive in symbolic form and sentence form: Assignment: Textbook Page 91, 8 – 20 All. Page 124, 2 – 12 evens. p : ∠A is a right angle. q : The measure of ∠A is 90⁰. ∼ is the symbol for __________________. Review