Q. the contrapositive of "If two triangles are identical, then these are similar" is
A) If two triangles are not similar, then these 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
Explanation
(a)
Let $p:$ 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$\ \sim q \rightarrow \sim p$.
$ie$, If two triangles are not similar, then these are not identical.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.