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Question
"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
If areas of two triangles are not equal then they are congruent
If two triangles are not congruent then their areas are equal
If two triangles are not congruent then their areas are not equal
If areas of two triangles are equal then they are congruent
Solution
"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 if areas of two triangles are equal then they are congruent.
Explanation:
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 they are congruent.
