Geometry Proof Vocab

Front

Geometric sentence in the form 'If, then.'

Back

Conditional Statement

Front

Geometric sentence with reversed hypothesis and conclusion

Back

Converse

Front

If a conditional statement and its converse are both true, it can be expressed as 'if and only if.'

Back

Biconditional

Front

Explanation in words/diagrams proving a conditional statement false.

Back

Counterexample

Front

Looking for patterns to make educated guesses about a situation.

Back

Inductive Reasoning

Front

Using facts, laws, or definitions to reach a logical conclusion.

Back

Deductive Reasoning

Front

If p → q is true and p is true, then q is true.

Back

Law of Detachment

Front

If p → q and q → r are true, then p → r is true.

Back

Law of Syllogism

Front

Unproven statement based on observations.

Back

Conjecture

Front

If a = b and b = c, then a = c. If a ≅ b and b ≅ c, then a ≅ c.

Back

Transitive Property