geometry chapter 2
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| biconditional | Is a statement in which both the conditional statement and it's converse are true.
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| conclusion | The part of a conditional statement following the "then".
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| conditional | A statement written in if-then form.
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| conjecture | A conclusion you reach using inductive reasoning.
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| contrapositive | Exchange and negate both the hypothesis and the conclusion of a conditional statement -q --> -p
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| converse | Exchange the hypothesis and conclusion of a conditional statement. q --> p
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| counterexample | An example that shows that a conjecture is false.
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| deductive reasoning | Is the process of reasoning logically from given statements, facts, definitions, or theorems to a conclusion.
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| equivalent statements | Two statements that have the same truth value.
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| hypothesis | The part of a conditional statement following the If.
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| inductive reasoning | Reasoning based on patterns you observe.
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| inverse | Negate both the hypothesis and the conclusion of a conditional statement......-p --> -q
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| Law of Detatchment | Logical reasoning in which ...if the hypothesis of a true conditional is true then the conclusion must also be true.
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| Law of Syllogism | Logical reasoning which...allow you to state a conclusion from TWO true conditional statements in when the conclusion of one statement is the hypothesis of the other statement.
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| negation | the opposite of a statement p is ~p which is read "not p".
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| proof | A convincing argument that uses deductive reasoning which shows logically why a conjecture is true.
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| theorem | is a conjecture or statement that has been (or can be) proven true using deductive reasoning.
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| truth value | A conditional statement can be either a true or a false statement.
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| two column proof | A proof which has two columns, it gives each statement on the left and the reason for each statement on the right.
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| addition property of equality | if a = b then a+c = b+c
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| subtraction property of equality | if a=b then a-c=b-c
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| multiplication property of equality | if a=b then ac = bc
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| division property of equality | if a=b then a/c =b/c (given c does not equal 0)
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| Reflexive Property | a=a
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| Symmetric Property | If a=b then b=a
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| Transitive Property | If a=b and b=c then a=c
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| Substitution Property | If a=b then b can replace a in any expression
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| Distributive Property of multiplication over addition | a(b+c) = ab + ac
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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Created by:
rlongsv
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