Geometry - PROOF

Front

What is the Substitution Property?

Back

If two quantities are equal, one can be substituted for the other in any expression.

Front

What is the Division Property of Equality?

Back

If a = b, then a/c = b/c for any non-zero c.

Front

What is the Addition Property of Equality?

Back

If a = b, then a + c = b + c for any c.

Front

What is the Subtraction Property of Equality?

Back

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

Front

What is the Transitive Property of Congruence?

Back

If figure A is congruent to figure B, and figure B is congruent to figure C, then figure A is congruent to figure C.

Front

What is the Reflexive Property of Congruence?

Back

Any geometric figure is congruent to itself.

Front

What is the Symmetric Property of Congruence?

Back

If figure A is congruent to figure B, then figure B is congruent to figure A.

Front

What are Complementary Angles?

Back

Two angles that add up to 90 degrees.

Front

What is a Proof in Geometry?

Back

A logical argument that uses definitions, properties, and previously proven statements to show that a conclusion is true.

Front

What is a Theorem?

Back

A statement that has been proven based on previously established statements such as other theorems, and axioms.