Mastering Reasoning and Proofs

Front

What is the Transitive Property?

Back

For any numbers a, b, and c, if a = b and b = c, then a = c.

Front

What is the definition of supplementary angles?

Back

Two angles are supplementary if the sum of their measures is 180 degrees.

Front

What is the Law of Syllogism?

Back

If 'If p, then q' and 'If q, then r' are both true, then 'If p, then r' is also true.

Front

What is the Subtraction Property of Equality?

Back

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

Front

What is the definition of complementary angles?

Back

Two angles are complementary if the sum of their measures is 90 degrees.

Front

What is the Reflexive Property of Equality?

Back

For any number a, a = a.

Front

What is the Symmetric Property of Equality?

Back

If a = b, then b = a.

Front

What is the Linear Pair Postulate?

Back

If two angles form a linear pair, then they are supplementary.

Front

What is the definition of 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 conditional statement?

Back

A statement in the form 'If p, then q', where p is the hypothesis and q is the conclusion.