Match the following terms with their correct definitions: I. Conjecture — a. A statement that is assumed to be true, which cannot be proved II. Proof — b. An assertion, the truth of which has not yet been established III. Axiom — c. A complete argument, which proceeds logically from assumptions to conclusion to support the truth of an assertion.

Which of the following methods or reasoning types legally constitute a formal logical proof in mathematics? (J) Inductive reasoning (K) Deductive reasoning (L) Geometric concepts (M) Properties of polygons

Consider the following statements: Statement 1: If a quadrilateral is a square, then all of its sides are equal. Statement 2: If all the sides of a quadrilateral are equal, then it is a square. Which of the following correctly describes the relationship between the two statements?