Conditional Statements. Standards/Objectives:. Students will learn and apply geometric concepts. Objectives: Recognize and analyze a conditional statement Write postulates about points, lines, and planes using conditional statements. Conditional Statement. A logical statement with 2 parts
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If there are 2 vertical angles, then they are congruent.
If 2 angles are vertical, then they are congruent.
If an object weighs 2000 lbs, then it weighs one ton.
counterexample: x could be -9
because (-9)2=81, but x≠9.
If you have brown hair, then you are a brunette.
If you are not a brunette, then you do not have brown hair.
If you do not have brown hair, then you are not a brunette.
The original conditional statement & its contrapositive will always have the same meaning.
The converse & inverse of a conditional statement will always have the same meaning.