![]() For a math statement: 'If a function is differentiable, then it is continuous.' For a non calculus statement: 'If 4 divides a number then that number is even. Similarly, take the statement " All quadrilaterals have four sides," or equivalently expressed " If a polygon is a quadrilateral, then it has four sides. Consider the statement: 'If it rains, then it is wet.' The converse is false. In other words, the contrapositive is logically equivalent to a given conditional statement, though not sufficient for a biconditional. In the figure above, there are two orientations of copies of right triangles used to form a smaller and larger square, labeled i and ii, that depict two.
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