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MHT CET202124 Sep 2021Morning ShiftMathematicsMathematical ReasoningActual

"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, q : Their areas are equal)

Options

  1. AIt two triangles are not congruent. then their areas are equal
  2. BIf two triangles are not congruent, then their areas are not equal
  3. CIf areas of two triangles are equal, then they are congruent
  4. DIf areas of two triangles are not equal, then they arc congruent

Correct answer

C. If areas of two triangles are equal, then they are congruent

Step-by-step solution

Let p : Two triangles are congruent. q: Their areas are equal. Logical form of given statement is p q Inverse of given statement is p q . Contrapositive of inverse of given statement is ( q) ( p) i.e. q p i.e. If areas of two triangles are equal, then they are congruent.

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