Question

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.

Answer 1

Answer: (A)

If two triangles are not similar then these are not identical

Answer 2

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
$\therefore \sim q \rightarrow \sim p:$ If two triangles are not similar, then these are not identical