Question

please help me
If two angles are vertical, then they are congruent. If two angles are congruent, then they have the same measure. The Law of Syllogism allows us to draw which conclusion.
A.If two angles are congruent, then they are vertical.
B. If , 13 years ago

Answer 1

The Law of Syllogism says that if \(A\) implies \(B\) and \(B\) implies \(C\), then \(A\) implies \(C\). In symbols, this can also be written\[(A\rightarrow B \wedge B \rightarrow C)\Rightarrow (A \rightarrow C)\] What are statements \(A\), \(B\), and \(C\) in this case?

Answer 2

If you need more background information, check it out here: http://en.wikipedia.org/wiki/Deductive_reasoning#Law_of_Syllogism