Mathematical Logic And Boolean Algebra Question 20
Question: Which of the following is the contrapositive of ‘if two triangles are identical, then these are similar’?
Options:
A) if two triangles are not similar, then are not identical
B) If two triangles are not identical, then these are not similar
C) If two triangles are not identical, then these are similar
D) If two triangles are not similar, then these are identical
Show Answer
Answer:
Correct Answer: A
Solution:
[a] Consider the following statements p: Two triangles are identical. q: Two triangles are similar. Clearly, the given statement in symbolic form is $ p\Rightarrow q. $ Therefore, its contrapositive is given by $ \sim q\Rightarrow ,\sim p $ Now, $ \sim p $ : two triangles are not identical. $ \sim q $ : two triangles are not similar.
$ \therefore ,\tilde{\ }q\Rightarrow \tilde{\ }p $ : If two triangles are not similar, then these are not identical.
BETA
