A mathematical statement is a statement that can be judged to be true or false.
There are three types of mathematical statements:
A conditional: The most frequently used statement in the construction of an argument or in the study of mathematics.
Ex: If the two angles are congruent, then the two angles are both right angles.
An inverse: a conditional statement is formed by negating the hypothesis and negating the conclusion of the original statement. [Regents Prep]
Ex: If the two angles are not congruent, then the two angles are not right angles.
A contrapositive: Negating and switching the hypothesis and conclusion.
Ex: (Normal sentence): If Lisa sells her house, then her income did not stay the same.
Contrapositive: If Lisa's income stays the same, the she will not sell her house.
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