Chapter 2 Reasoning and Proof.

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Presentation transcript:

Chapter 2 Reasoning and Proof

2.3 Conditional Statements Conditional statement- a statement that can be written in if-then form

Example Identify the hypothesis and conclusion of the following statements. 1. If a polygon has 6 sides, then it is a hexagon. 2. Tamika will advance to the next level of play if she completes the maze in her computer game.

Example Identify the hypothesis and conclusion of the following statements. 3. To find the distance between two points, you can use the distance formula. **Rewrite as an If-Then statement first!

Example Identify the hypothesis and conclusion of the following statements. 4. Distance is positive. 5. A five-sided polygon is a pentagon.

*Reminder* Write the converse by switching the hypothesis and conclusion of the conditional.

Example Write the converse, inverse, and contrapositive of the conditional statement. Then determine the truth value. 6. If it rains today, then Michael will not go skiing.

Example Write the converse, inverse, and contrapositive of the conditional statement. Then determine the truth value. 7. All squares are rectangles.

Example Write the converse, inverse, and contrapositive of the conditional statement. Then determine the truth value. 8. The sum of the measures of two complementary angles is 90 degrees.