MHT CET2019Morning ShiftMathematicsMathematical ReasoningActual
“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
- AIf areas of two triangles are not equal then they are congruent
- BIf two triangles are not congruent then their areas are equal
- CIf two triangles are not congruent then their areas are not equal
- 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.