MHT CET · Maths · Mathematical Reasoning
“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
- D If areas of two triangles are equal then they are congruent
Answer & Solution
Correct Answer
(D) If areas of two triangles are equal then they are congruent
Step-by-step Solution
Detailed explanation
Key Idea Use then inverse of it is
and contrapositive is
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.
and contrapositive is
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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