Lesson 1.1
Conditional Statements
A conditional has a hypothesis and a conclusion. Its contrapositive is logically equivalent; its converse and inverse need separate evidence. A single counterexample disproves a universal conditional.
← Geometry Honors Study Guide
Unit 1
Logic, Axioms, and Proof
What counts as an argument. Geometry is the course where students first have to justify rather than compute, and this unit sets that expectation.
Lessons and exercises
Lesson 1.2
Inductive and Deductive Reasoning
Induction suggests a pattern from examples. Deduction proves a conclusion from accepted premises. Checking many cases does not prove a claim about every number or every figure.
Lesson 1.3
Writing a Proof
A proof connects each claim to a given fact, a definition, or a proved theorem. State the relevant hypotheses before applying a result. A diagram suggests relationships but does not prove unmarked equalities.
Need help with this topic?
Work through questions with a tutor and get help with the steps you find difficult.
Get help with this topic