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Question
Write converse, inverse contrapositive of the statement "If two triangles are not congruent then their areas are not equal.
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Solution
Let p : Two triangles are not congruent
q : Areas of two triangles are not equal.
∴ Symbolic form of the given statementt is P → q.
Converse : q → p
i.e. If areas of two triangles are not equal then U are not cong:ruent.
Inverse : ~p → ~q
i.e. If two triangles are congruent then their a reas are equal.
Contrapositive : ~q → ~ p
i.e. If areas of two triangles are equal then they congruent.
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