Warm Up
Make a conjecture about the next item in
the sequence. Find the next two terms.
Chapter 2 Section 3
Take Note
If-then statements
Description: Is in the form if p, then q. 𝑝 → 𝑞
Diagram:
p = hypothesis
q = conclusion
For Example
Identify the Hypothesis and Conclusion
A. Identify the hypothesis and conclusion of the
following statement.
If a polygon has 6 sides, then it is a hexagon.
If a polygon has 6 sides, then it is a hexagon.
hypothesis
conclusion
Answer: Hypothesis: A polygon has 6 sides.
Conclusion: It is a hexagon.
For Example
Identify the Hypothesis and Conclusion
B. Identify the hypothesis and conclusion of the
following statement.
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.
You Try
A. Which of the choices correctly identifies the
hypothesis and conclusion of the given conditional?
If you are a baby, then you will cry.
A. Hypothesis: You will cry.
Conclusion: You are a baby.
B. Hypothesis: You are a baby.
Conclusion: You will cry.
C. Hypothesis: Babies cry.
Conclusion: You are a baby.
D. none of the above
For Example
Write a Conditional in If-Then Form
A. Identify the hypothesis and conclusion of the
following statement. Then write the statement in the
if-then form.
Measured distance is positive.
Answer: Hypothesis: A distance is measured.
Conclusion: It is positive.
If a distance is measured, then it is positive.
For Example
Write a Conditional in If-Then Form
B. Identify the hypothesis and conclusion of the
following statement. Then write the statement
in the if-then form.
A five-sided polygon is a pentagon.
Answer: Hypothesis: A polygon has five sides.
Conclusion: It is a pentagon.
If a polygon has five sides, then it is
a pentagon.
You Try
A. Which of the following is the correct if-then form
of the given statement?
A polygon with 8 sides is an octagon.
A. If an octagon has 8 sides, then it
is a polygon.
B. If a polygon has 8 sides, then it is
an octagon.
C. If a polygon is an octagon, then it
has 8 sides.
D. none of the above
Wrap Up
B. Write the following in if-then form:
Homework
• HW 11: Pg.111 #’s 1-8, 18-20,30, 31