Many postulates and theorems in geometry are conditional statements. Let's find out what that means.
The following statements are examples of conditional statements.
- It is raining, so you will need an umbrella.
- Get three months free when you sign up for the gym.
- Free phone with a two-year service contract.
That means they can be rewritten in if-then form.
- If it is raining, then you will need an umbrella.
- If you sign up for the gym, then you will get three months free.
- If you sign a two-year service contract, then you will receive a free phone.
The phrase that follows the word "if" is called the hypothesis of the statement, and the phrase following the word "then" is called the conclusion.
Now you try! Write the following statements in "If. . . then. . ." form.
- Cows eat grass.
- Three points are collinear if they lie on the same line.
- The sum of the angles in a triangle total 180 degrees.
Click the link below to complete the activity.Conditional Statements Activity
In the next section, you will explore some other types of statements that we use in geometry.