Chapter 2 Flash cards

Question 1

Reason

Answer 1

A reason is an explanation

Question 2

Counter example

Answer 2

Proves a statement is false

Question 3

If

Answer 3

Hypothesis

Question 4

Then

Answer 4

Conclusion

Question 5

Converse

Answer 5

If and then statements have been switched

Question 6

Conditional

Answer 6

Use the given hypothesis and conclusion

Question 7

Inverse

Answer 7

Negate both the hypothesis and the conclusion of the conditional

Question 8

Contrapositive

Answer 8

Negate both the hypothesis and the conclusion of the converse

Question 9

Deduce

Answer 9

To use known facts to reach a conclusion

Question 10

Law of Detachment

Answer 10

If the hypothesis of a conditional is true, then the conclusion is true

Question 11

Law of Syllogism

Answer 11

You can state a conclusion from two conditional statements when the conclusion of one of statement is the hypothesis of the other statement

Question 12

Justify

Answer 12

To justify a step in a solution means to provide a mathematical reason why the step is correct

Question 13

Associative

Answer 13

Regrouping
(a+b)+ c = a+(b+c)
(ab)c = a(bc)

Question 14

Commutative

Answer 14

To move places
a + b = b + a
ab = ba

Question 15

Subtraction Property of Equality

Answer 15

If a = b, then a - c = b - c

Question 16

Substitution Property of Equality

Answer 16

If a = b, then b can replace a in any equation

If a = b and c = b then a = c

Question 17

Multiplication Property of Equality

Answer 17

If a = b, then a X c = b X c

Question 18

Division Property of Equality

Answer 18

If a = b, and c /=/ 0 then a/c = b/c

Question 19

Transitive Property of Equality

Answer 19

If a = b and b = c, then a = c

Question 20

Symmetric Property of Equality

Answer 20

If a = b, then b = a

Question 21

Reflexive Property of Equality

Answer 21

a = a

Question 22

Addition Property of Equality

Answer 22

If a = b, then a + c = b + c

Question 23

Distributive Property

Answer 23

a(b + c) = ab + ac

Question 24

Theorem

Answer 24

A conjecture or statement that you prove

Question 25

Theorem 2-1: Vertical Angles Theorem

Answer 25

Vertical angles are congruent