To find: Whether the stated conclusion is valid based on the given information, if not, write invalid.
Answer to Problem 3CYP
The conclusion is invalid.
Explanation of Solution
Given: If a figure is a square, then it is a
Conclusion: Figure A is a polygon.
Calculation:
First identify the hypothesis
Let
Let
Now analyze the conclusion.
The given statement “Figure A is a square” satisfies the conclusion, so
Use the Law of Detachment,
“if
Therefore, by the Law of Detachment does not apply. It is known that a conditional statement and its conclusion are true does not make the hypothesis true. So, the conclusion “figure A is a square.”
Chapter 2 Solutions
Geometry, Student Edition
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