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"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)
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(Where p: Two triangles are congruent, $\mathrm{q}$ : Their areas are equal)
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The correct answer is:
If areas of two triangles are equal, then they are congruent
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.
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.
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