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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Write Converse, Inverse Contrnpositlve of the Statement "If Two Bi Act Arc Not Congruent Then Their Areas Are Not Equal.

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प्रश्न

Write converse, inverse contrapositive of the statement "If two triangles are not congruent then their areas are not equal.

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उत्तर

 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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2014-2015 (October)

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