Download page 85 12 19 If 2 numbers are odd, then the sum is even. 12. Given

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page 85 12 ­ 19 If 2 numbers are odd, then the sum is even.
12. Given: the sum of 2 numbers is 22
Conclusion: the two numbers are odd
13. Given: the numbers are 5 and 7
Conclusion: the sum is even
14. Given: the numbers are 2 and 6
Conclusion: the sum is odd
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page 85 12 ­ 19 If 2 numbers are odd, then the sum is even.
15. Given: the numbers are 2 and 6
Conclusion: the sum is odd
If three points are noncollinear, then they determine a plane.
16. Given: A, B, C are noncollinear
Conclusion: A, B, C determine a plane
17. Given: E, F, G lie in plane M
Conclusion: E, F, G are noncollinear
18. Given: P & Q lie on a line
Conclusion: P and Q determine a plane
19. Given: Triangle XYZ
Conclusion: X, Y and Z determine a plane
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Law of Syllogism
Given: If p then q is true.
Given: If q then r is true.
Conclusion: If p then r is true.
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Can a valid conclusion be made using the Law of Syllogism? If so, what is it?
1. If Sally attends the prom, then she will go with Mark.
2. Mark is a 17 year old student.
1. If the atomic number of a substance is Pb, then it is lead.
2. The atomic number of lead is 82.
1. If the measure of an angle is less than 90, then it is acute.
2. If an angle is acute, then it is not obtuse.
1. Water is represented by H2O.
2. Hydrogen (H) and Oxygen (0) are in the atmosphere.
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Determine if statement 3 follows from statements 1 and 2 by the Law of Detachment or the Law of Syllogism or write invalid.
1. In­line skaters live dangerously.
2. If you live dangerously, then you like to dance.
3. If you are an in­line skater, then you like to dance.
1. If the measure of an angle is greater than 90, then it is obtuse.
2. m<B = 100
3. <B is obtuse
1. Vertical angles are congruent.
2. <3≅<4
3. <3 and <4 are vertical
1. If an angle is obtuse, then it can't be acute.
2. <A is obtuse
3. <A can't be acute
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Determine if statement 3 follows from statements 1 and 2 by the Law of Detachment or the Law of Syllogism or write invalid.
1. If you drive safely, then you can avoid accidents.
2. Tammy drives safely
3. Tammy avoids accidents.
1. If you are a customer, then you are always right.
2. If you are a teenager, then you are always right.
3. If you are a teenager, then you are a customer.
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Assignment
Handout 2­4
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