Transparency 2 Review: Lesson 2-1 Mini-Quiz. Class Greeting.

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Transparency 2 Review: Lesson 2-1 Mini-Quiz

Class Greeting

Objective: The students will learn the key vocabulary: conditional statement, hypothesis, and conclusion and how to write conditional statements while identifying the hypothesis and conclusion.

Chapter 2 – Lesson 2a Conditional Statements

Conditional Statement a statement of the form if p then q where p and q are some other statements We write a conditional statement as p  q (say “if p then q” or “p implies q”) Vocabulary

The Hypothesis is the “if” part of the conditional statement In the conditional statement p  q we call p the hypothesis It is everything after the word “If” and before the word “then.” If you write the word “If” you will be wrong and get 0 pts.

Vocabulary The Conclusion is the “then” part of the conditional statement In the conditional statement p  q we call q the conclusion It is everything after the word “then.” If you write the word “then” you will be wrong and get 0 pts.

Example 3-1a Identify the hypothesis and conclusion of the following statement. If a polygon has 6 sides, then it is a hexagon. Answer: Hypothesis: a polygon has 6 sides Conclusion: it is a hexagon hypothesis conclusion If a polygon has 6 sides, then it is a hexagon. Notice the Hypothesis does not have the word “If.” Notice the Conclusion does not have the word “then.”

Example 3-1b Tamika will advance to the next level of play if she completes the maze in her computer game. Answer: Hypothesis: Tamika completes the maze in her computer game Conclusion: she will advance to the next level of play Identify the hypothesis and conclusion of the following statement.

Example 3-1c Identify the hypothesis and conclusion of each statement. a. If you are a baby, then you will cry. b. To find the distance between two points, you can use the Distance Formula. Answer: Hypothesis: you are a baby Conclusion: you will cry Answer: Hypothesis: you want to find the distance between two points Conclusion: you can use the Distance Formula

Example 3-2a Write the following statement in the if-then form. Then identify the hypothesis and conclusion of the statement. Answer: If a distance is measured, then it is positive. Hypothesis: a distance is measured Conclusion: it is positive Sometimes you must add information to a statement. The measuring of the distance is implied. Distance is positive.

Example 3-2b A five-sided polygon is a pentagon. Answer: If a polygon has five sides, then it is a pentagon. Hypothesis: a polygon has five sides Conclusion: it is a pentagon Write the following statement in the if-then form. Then identify the hypothesis and conclusion of the statement.

Example 3-2c Write each statement in if-then form. Then identify the hypothesis and conclusion of each statement. a. An octagon is a polygon with 8 sides. b. An angle that measures 45º is an acute angle. Answer: If a polygon is an octagon, then it has 8 sides. Hypothesis: a polygon is an octagon Conclusion: it has 8 sides Answer: If an angle measures 45º, then it is an acute angle. Hypothesis: an angle measures 45º Conclusion: it is an acute angle

Lesson Summary Objective: The students will learn the key vocabulary: conditional statement, hypothesis, and conclusion and how to write conditional statements while identifying the hypothesis and conclusion.

Preview of the Next Lesson: Objective: The students will learn the key vocabulary: converse, inverse and contrapositive and how to use a conditional statement to produce the converse, inverse and contrapositive.

Homework Geometry 2-2a