Page 179 - Math Course 2 (Book 2)
P. 179
Conditional Statements
Write a Conditional in If-Then Form
Which of the choices correctly identifies the hypoth-
Examples esis and conclusion of the given conditional? To
find the distance between two points, you can use
the Distance Formula.
Identify the hypothesis and conclusion of the
following statement. Then write the statement in A. Hypothesis: you want to find the distance
the if-then form. between 2 points
Conclusion: you can use the distance formula
Sometimes you must add information to a
statement. Here you know that distance is B. Hypothesis: you are taking geometry
measured or determined. Conclusion: you learned the distance formula
Hypothesis: a distance is C. Hypothesis: you used the distance formula
measured Conclusion: you found the distance between
2 points
Answer Conclusion: it is positive
D. none of the above
If a distance is measured, then it
is positive. Answer
Identify the hypothesis and conclusion of the
following statement. Then write the statement in Write a Conditional in If-Then Form
the if-then form.
Which of the following is the correct if-then form
A five-sided polygon is a pentagon. of the given statement? A polygon with 8 sides is
an octagon.
Hypothesis: a polygon has five
sides A. If an octagon has 8 sides, then it is a polygon.
Answer Conclusion: it is a pentagon B. If a polygon has 8 sides, then it is an octagon.
If a polygon has five sides, then it C. If a polygon is an octagon, then it has 8 sides.
is a pentagon.
D. none of the above
Your Turn! Answer
Identify Hypothesis and Conclusion
Which of the following is the correct if-then form of
Which of the choices correctly identifies the the given statement? An angle that measures 45° is
hypothesis and conclusion of the given conditional? an acute angle.
If you are a baby, then you will cry.
A. If an angle is acute, then it measures less than
A. Hypothesis: you will cry 90°.
Conclusion: you are a baby
B. If an angle is not obtuse, then it is acute.
B. Hypothesis: you are a baby
Conclusion: you will cry C. If an angle measures 45°, then it is an acute
angle.
C. Hypothesis: babies cry
Conclusion: you are a baby D. If an angle is acute, then it measures 45°.
D. none of the above Answer
Answer
171
