chapter 2

Question 1

converse

Answer 1

a statement formed by exchanging the hypothesis and conclusion

Question 2

inverse

Answer 2

a statement formed by negating the hypothesis and conclusion

Question 3

contra positive

Answer 3

converse and inverse

Question 4

biconditional statement

Answer 4

p if and only q

for a biconditional statement to be true both the conditional and converse must be true

Question 5

inductive reasoning

Answer 5

assumptions based on patterns

Question 6

deductive reasoning

Answer 6

the process of using logic to draw conclusions from given facts, definitions, and properties

Question 7

law of detachments

Answer 7

if p-q is a true statement and p is true than a is true

Question 8

law of syllogism

Answer 8

if p-q and q-r are true statements then p-r is a true statement

Question 9

linear pair theorem

Answer 9

if 2 angles form a linear pair then they are supplementary

Question 10

congruent supplements theorem

Answer 10

if two angles are supplementary to the same angle,(or to two congruent angles) then the two angles are congruent