Chapter 2 Flash cards

1
Q

Reason

A

A reason is an explanation

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2
Q

Counter example

A

Proves a statement is false

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3
Q

If

A

Hypothesis

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4
Q

Then

A

Conclusion

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5
Q

Converse

A

If and then statements have been switched

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6
Q

Conditional

A

Use the given hypothesis and conclusion

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7
Q

Inverse

A

Negate both the hypothesis and the conclusion of the conditional

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8
Q

Contrapositive

A

Negate both the hypothesis and the conclusion of the converse

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9
Q

Deduce

A

To use known facts to reach a conclusion

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10
Q

Law of Detachment

A

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

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11
Q

Law of Syllogism

A

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

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12
Q

Justify

A

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

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13
Q

Associative

A

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

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14
Q

Commutative

A

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

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15
Q

Subtraction Property of Equality

A

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

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16
Q

Substitution Property of Equality

A

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

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

17
Q

Multiplication Property of Equality

A

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

18
Q

Division Property of Equality

A

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

19
Q

Transitive Property of Equality

A

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

20
Q

Symmetric Property of Equality

A

If a = b, then b = a

21
Q

Reflexive Property of Equality

22
Q

Addition Property of Equality

A

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

23
Q

Distributive Property

A

a(b + c) = ab + ac

24
Q

Theorem

A

A conjecture or statement that you prove

25
Q

Theorem 2-1: Vertical Angles Theorem

A

Vertical angles are congruent