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22 Cards in this Set
- Front
- Back
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What is a theorem
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Any statement that you can prove
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Two-column proof
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Listing the steps of the proof in the left column
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The proof process (In order from 1 - 5)
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1. Write the conjecture to be proven
2. Draw a diagram to represent the hypothesis of the conjecture 3. State the givin information and mark it on the diagram 4. State the conclusion of the conjecture in terms of the diagram 5. Plan your argument and prove the conjecture |
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Flowchart proof
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Uses boxes and arrows to show the structure of the proof
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Paragraph proof
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A style of proof that presents the steps of the proof and their matching reasons as sentences in a paragraph.
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Conjunction
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A compound statement that uses the word and
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Disjunction
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A compound statement that uses the word or
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What are the three styles that can be listed for proofs
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Two-column proof
Flowchart proof Paragraph proof |
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Proof
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An argrument that uses logic, definitions, properties, and proven statements to show that the conclusion is true.
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Addition Property of Equality
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If a = b then a + c = b + c
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Subtraction Property of Equality
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If a = b, then a - c = b - c
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Multiplication Property of Equality
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If a = b then ac = bc
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Division Property of Equality
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If a = b and c != 0, then ac = bc
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Reflexive Property of Equality
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a = a
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Symmetric Property of Equality
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If a = b, then b = a
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Transitive Property of Equality
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If a = b and b = c, then a = c
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Substitution Property of Equality
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If a = b, then b can be substituted for a in any expression
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Reflexive Property of Congruence
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Figure A = figure A
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Symmetric Property of Congruence
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If figure A = figure B, then figure B = figure A
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Transitive Property of Congruence
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If figure A = figure B and figure B = figure C, then figure A = figure C
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Theorem 2-6-1
Linear Pair Theorem |
If two angles form a linear pair, then they are supplementary.
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Theorem 2-6-2
Congruent Supplements Theorem |
If two angles are supplementary to the same angle, then the two angles are congruent.
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