Q55 / 150 · MHT CET 2019 (Shift 1) · Mathematics

“If two triangles are congruent, then their areas are equal” is the given statement then the contrapositive of, the inverse of the given statement is

  • A
    If areas of two triangles are not equal then they are congruent
  • B
    If two triangles are not congruent then their areas are equal
  • C
    If two triangles are not congruent then their areas are not equal
  • Correct answer
    D
    If areas of two triangles are equal then they are congruent

Solution

Key Idea Use p→q then inverse of it is
∼p→∼q and contrapositive is ∼q→∼p
The inverse of the given statement: “If two triangles are not congruent, then their areas are not equal.”
∴ The contrapositive of the inverse of the given statement : If areas of two triangles are equal, then are congruent.

Hence, the correct answer is option: 'D'.

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