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Solution - Write the converse and contrapositive of the statement — “If two triangles are congruent, then their areas are equal.” - Mathematical Logic - Statement Patterns and Logical Equivalence

Question

Write the converse and contrapositive of the statement — “If two triangles are congruent, then their areas are equal.”

Solution

The given statement– ‘If two triangles are congruent, then their areas are equal.’

  • Converse of the above statement:
    If the areas of the two triangles are equal, then the triangles are congruent.
  • Contrapositive of the given statement:
    If the two triangles are not congruent, then their areas are not equal.
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APPEARS IN

2014-2015 (March)
Question 1.2.1 | 2 marks
Solution for question: Write the converse and contrapositive of the statement — “If two triangles are congruent, then their areas are equal.” concept: Mathematical Logic - Statement Patterns and Logical Equivalence. For the courses HSC Arts, HSC Commerce, HSC Commerce (Marketing and Salesmanship), HSC Science (Computer Science), HSC Science (Electronics), HSC Science (General)
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