Homework Questions

1. Homework Questions

2. Homework Questions

3. 2.3 Apply Deductive 
Reasoning 1.) Define deductive reasoning. 2.) Use the Law of Detachment and 
the Law of Syllogism to form a logical 
argument.

4. 2.3 Apply Deductive Reasoning Remember that inductive reasoning was where 
we found a pattern in specific cases and then 
made a conjecture about the general case. deductive reasoning - uses ____________________________________ 
to form a logical argument. facts, definitions, accepted properties, and laws of logic

5. 2.3 Apply Deductive Reasoning Laws of Logic Law of Detachment - If the hypothesis of a true conditional statement is true, then the 
conclusion is also true. Law of Syllogism - If hypothesis p, then conclusion q. If hypothesis q, then conclusion r. If hypothesis p, then conclusion r. If both 
true, then this 
statement 
is true.

6. 2.3 Apply Deductive Reasoning Ex. 1 Use the Law of Detachment to 
make a valid conclusion in the true situation. (a) If two segments have the same 
length, then they are congruent. you know 
that BC = XY.  (b) Mary goes to the movies every Friday 
and Saturday night. Today is Friday.

7. 2.3 Apply Deductive Reasoning Ex. 2 Describe the pattern in the numbers. 
Write the next number in the pattern. 4, 3, 1, -2... Q A Subtract 1, subtract 2, 
subtract 3... ; -6

8. 2.3 Apply Deductive Reasoning Ex. 3 If possible, use the Law of Syllogism 
to write a new conditional statement that 
follows from the pair of true statements. (a) If Rick takes chemistry this year, then 
Jesse will be Rick's lab partner. If Jesse is Rick's lab partner, then Rick 
will get an A in chemistry.

9. 2.3 Apply Deductive Reasoning Ex. 3 If possible, use the Law of Syllogism 
to write a new conditional statement that 
follows from the pair of true statements.  (b) If x2 > 25, then x2 > 20. If x > 5, then x2 > 25.

10. 2.3 Apply Deductive Reasoning Ex. 3 If possible, use the Law of Syllogism 
to write a new conditional statement that 
follows from the pair of true statements. (c) If a polygon is regular, then all angles in 
the interior of the polygon are congruent. If a polygon is regular, then all of its 
sides are congruent.

11. 2.3 Apply Deductive Reasoning Ex. 4 Write the converse, inverse and 
contrapositive of the conditional statement. 
Determine which are true and which are false. If you play guitar, then you are a musician. Converse: Inverse: Contrapositive: Q A If you are a musician, then you play 
guitar. If you don't play guitar, then you aren't a 
musician.  If you aren't a musician, then you 
don't play guitar.

12. 2.3 Apply Deductive Reasoning Ex. 5 Decide whether inductive or 
deductive reasoning is used to reach the 
conclusion. Explain your reasoning. (a) Each time I throw a ball up, it returns to 
the ground. So the next time I throw a ball up, 
it will return to the ground.  (b) All reptiles are cold-blooded. Parrots 
are not cold-blooded. My pet parrot is not a 
reptile.

13. 2.3 Apply Deductive Reasoning Laws of Logic Law of Detachment - If the hypothesis of a true conditional statement is true, then the 
conclusion is also true. Law of Syllogism - If hypothesis p, then conclusion q. If hypothesis q, then conclusion r. If hypothesis p, then conclusion r. If both 
true, then this 
statement 
is true.

14. 2.3 Apply Deductive Reasoning Homework: pg. 117 #6,7,10,11,12,13,15