"If two triangle are congruent, then their areas are equal." Is the given statement, then the contrapositive…
"If two triangle are congruent, then their areas are equal." Is the given statement, then the contrapositive of the inverse of the given statement is
(Where p: Two triangles are congruent, $\mathrm{q}$ : Their areas are equal)
It two triangles are not congruent. then their areas are equal
If two triangles are not congruent, then their areas are not equal
If areas of two triangles are equal, then they are congruent
If areas of two triangles are not equal, then they arc congruent
Solution
Let $p$ : Two triangles are congruent.
q: Their areas are equal.
Logical form of given statement is $\mathrm{p} \rightarrow \mathrm{q}$
Inverse of given statement is $\sim p \rightarrow \sim q$.
Contrapositive of inverse of given statement is $\sim(\sim q) \rightarrow \sim(\sim p)$ i.e. $\mathrm{q} \rightarrow \mathrm{p}$ i.e.
If areas of two triangles are equal, then they are congruent.