What Is a Conditional Statement in Geometry?

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A conditional statement is an “if-then” statement used in geometry to relate a particular hypothesis to its conclusion. An arrow originating at the hypothesis, denoted by p, and pointing at the conclusion, denoted by q, represents a conditional statement. A conditional statement is read as, “if p then q.”

If the hypothesis is true and the conclusion is false, then the conditional statement is false. When the positions of the hypothesis and the conclusion are interchanged, the result is a converse statement. A converse statement and its conditional do not have the same meaning. The negation of the hypothesis and the conclusion results in an inverse statement.