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“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

Options

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

Correct answer

D. If areas of two triangles are equal then they are congruent

Step-by-step 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.

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