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

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Sum

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

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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 areas of two traingles are not equal then the triangles are not congruent.
Concept: Statement Patterns and Logical Equivalence
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