Concept explainers
To find: Whether the stated conclusion is valid based on the given information, if not, write invalid.
Answer to Problem 9CYU
The conclusion is invalid.
Explanation of Solution
Given: Vertical
Conclusion:
Calculation:
First identify the hypothesis
Let
Let
Now analyze the conclusion.
The given statement “Vertical angles are congruent” 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 “
Chapter 2 Solutions
Geometry, Student Edition
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