A conditional statement is usually a sentence written in the form "if 'this,' then 'that'." The "if" part is the hypothesis, and the "then" part is the conclusion.

Conditional statements are also written as "if p, then q," where p represents the hypothesis and q represents the conclusion.

Conditional statements are either true or false.

Examples of Conditional Statements: The hypothesis is bolded and the conclusion is underlined.

• If the gas gauge in your car is close to E, then you need to buy gasoline.
• If it is raining, you will need an umbrella. (The word "then" can be omitted.)
• If a closed polygon has 3 sides, then it is a triangle.

The converse statement switches the "if – then", so that as "if p, then q," becomes "if q, then p."

Watch this video about converse statements.

In your notes, write the converse for each conditional statement and determine if it is a true statement.

1. If you have a fever, you must have a cold.
2. If a quadrilateral is a rhombus, then the side lengths are equal.
3. If you are studying geometry, then you must be in the 10th grade.

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Check Your Answer

1. If you have a cold, then you have a fever. Not True. You usually do not have a fever with a cold.
2. If side lengths are equal, then the quadrilateral is a rhombus. True. Remember, squares are special rhombuses.
3. If you are in the 10th grade, then you are studying geometry. Not True. Not all 10th graders study geometry.