Geometry Pre-AP BOMLA LacyMath.

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Presentation transcript:

Geometry Pre-AP BOMLA LacyMath

Conditional Statements A statement that can be written in “if-then” form. Conditional Statements

Conditional Statements A statement that can be written in “if-then” form. Ex: If you finish your homework, then you can play your PS4. Conditional Statements

Conditional Statements Written in the form… if p, then q. Conditional Statements

Conditional Statements Written in the form… if p, then q. Phrase following the word if is the hypothesis. Phrase following the word then is the conclusion. Conditional Statements

Conditional Statements Ex: If you finish your homework, then you can play your PS4. Hypothesis: You finish your homework Conclusion: You can play your PS4. Conditional Statements

Conditional Statements Example 2 If points A, B, and C lie on line l, then they are collinear. Conditional Statements

Conditional Statements Example 2 If points A, B, and C lie on line l, then they are collinear. What is the hypothesis? What is the conclusion? Conditional Statements

Conditional Statements Example 2 If points A, B, and C lie on line l, then they are collinear. What is the hypothesis? Points A, B, and C lie on line l What is the conclusion? Conditional Statements

Conditional Statements Example 2 If points A, B, and C lie on line l, then they are collinear. What is the hypothesis? Points A, B, and C lie on line l What is the conclusion? They, (the points), are collinear Conditional Statements

Conditional Statements Review: The truth value of a statement is true or false. The hypothesis, conclusion, and the conditional statement itself all have a truth value! Conditional Statements

Conditional Statements Example 3 If you get 100% on your test, then your teacher will give you an A. Conditional Statements

Conditional Statements You can write statements in if-then form when you identify the hypothesis and the conclusion. Conditional Statements

Conditional Statements You can write statements in if-then form when you identify the hypothesis and the conclusion. Example 4 An angle with a measure greater than 90 is an obtuse angle. Conditional Statements

Conditional Statements You can write statements in if-then form when you identify the hypothesis and the conclusion. Example 4 An angle with a measure greater than 90 is an obtuse angle. Hypothesis: an angle has a measure greater than 90 Conclusion: it is an obtuse angle Conditional Statements

Conditional Statements Example 4 An angle with a measure greater than 90 is an obtuse angle. Hypothesis: an angle has a measure greater than 90 Conclusion: it is an obtuse angle If an angle has a measure greater than 90, then it is an obtuse angle. Conditional Statements

Conditional Statements Related Conditionals!!! PAGE 109 Conditional Statements

Conditional Statements Classwork Page 111 #18 – 21 Page 112 #22, 24, 26 – 29, 35 – 38 Page 113 #48, 49 Conditional Statements