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

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.

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

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