Algebraic Proof Flashcards

1
Q

What is the Subtraction Property of Equality?

A

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

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2
Q

What is the Division Property of Equality?

A

If a=b and c isn’t 0, then a/c=b/c.

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3
Q

What is the Symmetric Property of Equality?

A

If a=b, then b=a.

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4
Q

What is the Segment Addition Postulate?

A

If B is between A and C, then AB+BC=AC.

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5
Q

What is the Substitution Property of Equality?

A

If a=b, then b can be substituted for a.

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6
Q

What is the Reflexive Property of Equality?

A

A=A

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7
Q

What is the Symmetric Property of Congruence?

A

If A=B, then B=A (Mathematical Figures)

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8
Q

What is the Reflexive Property of Congruence?

A

Figure A=Figure A

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9
Q

What is the Transitive Property of Congruence?

A

If A=B and B=C and A=C (Mathematical Figures)

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10
Q

What is a Proof?

A

An argument that shows that a conclusion is true.

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