Page 178 - Math Course 2 (Book 2)

Conditional Statements
Mo. 12

Lesson 3 Key Concept

KEY CONCEPTS: If-Then Statement

1. Analyze statements in if-then form. Word An if–then statement is written
2. Write the converse, inverse, and in the form if p, then q. The phrase
contrapositive of if-then statements. immediately following the word if is
called the hypothesis, and the phrase
immediately following the word then is
MO. 12 - L3a called the conclusion.

Symbols p → q, read if p then q, or p implies q.
If-Then Statements

Vocabulary A-Z Let’s Begin

Let us learn some vocabulary

conditional statement Identify Hypothesis and Conclusion
is a statement that can be written in if-then form.
Examples
If you buy a car, then you get $1500 cash
back.
Identify the hypothesis and conclusion of the
following statement.
if-then statement
An if-then statement is written in the form if p, then q. If a polygon has 6 sides, then it is a hexagon.

If points A, B, and C lie on line, then they are hypothesis conclusion
collinear. Hypothesis: a polygon has 6
sides
Answer
hypothesis Conclusion: it is a hexagon
The phrase immediately following the word if is
called the hypothesis.
Identify the hypothesis and conclusion of the
following statement.
If points A, B, and C lie on line, then they are
collinear. Tamika will advance to the next level of play if she
completes the maze in her computer game.

conclusion Hypothesis: Tamika completes
the phrase immediately following the word then is Answer the maze in her computer game
called the conclusion.
Conclusion: she will advance to
the next level of play
If points A, B, and C lie on line, then they are
collinear.

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