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Square Root of a Number

The areas of ...

Question

The areas of two congruent figures are always equal. The converse is also true.

A

False

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B

True

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Solution

The correct option is A False

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

Q. Which of the following statements are true and which are false;
(i) All squares are congruent.
(ii) If two squares have equal areas, they are congruent.
(iii) If two rectangles have equal area, they are congruent.
(iv) If two triangles are equal in area, they are congruent.

Statement 1: Two congruent triangles have equal areas.

Statement 2: Any two triangles with equal areas are always congruent.

Pick the correct option:

If the areas of two similar triangles are equal, they are also congruent.

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