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Question

Write the inverse and contrapositive of the statement
"If two triangles are congruent, then their areas are equal."
(a)Inverse of the statement :
If two triangles are not congruent, then their areas are equal.
(b)Contrapositive of the statement:
If the areas of the two triangles are equal, then the triangles are congruent.

A
(a)False and (b) False
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B
(a)True and (b) False
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C
(a)False and (b) True
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D
(a)True and (b) True
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Solution

The correct option is A (a)False and (b) False
"If two triangles are congruent, then their areas are equal."
(a)Inverse of the statement :
If two triangles are not congruent, then their areas are not equal.
(b)Contrapositive of the statement:
If the areas of the two triangles are not equal, then the triangles are not congruent.

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