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Contra-Positive

Write the con...

Question

Write the converse and contrapositive of the statement
"If two traingles are congruent, then their areas are equal."

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Solution

Converse: 'If areas of two triangles are equal, then they are congruent.'
Contrapositive: 'If areas of two triangles are not equal, then they are not congruent.'

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Q. Which of the following is true about the converse and contrapositive of the statement
"If two triangles are congruent, then their areas are equal."
(i) Converse of the statement :
If the areas of the two triangles are equal, then the triangles are congruent.
(ii) Contrapositive of the statement:
If the areas of the two triangles are not equal, then the triangles are not congruent.

Q. 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.

If two triangles are congruent, their areas are equal.

Q. The contrapositive of : "If two triangles are congruent then they are similar" is

Q. Write the converse and contrapositive of the statement "If the two lines are parallel then they do not intersects in the same plane".

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Contra-Positive

Standard XII Mathematics

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