
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 p and the conclusion q of the true conditional.
Let p represents Figure A is a polygon.
Let q represents Figure A is a square.
Now analyze the conclusion.
The given statement “Figure A is a square” satisfies the conclusion, so q is true.
Use the Law of Detachment,
“if p→q is a true statement and p is true, then q is true.”
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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