If two figures have same area, they must be congruent.

True

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False

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Solution

The correct option is B
False

If two figures are congruent, they must have the same area but the reverse may not be true. Two figures having the same area need not be congruent.

For example: Consider the figure below:

In this figure, both parallelograms have the same area because they have same base and height. But they aren't congruent.

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Similar questions

If two figures have same area, they must be congruent.

Statement 1: If two figures A and B are congruent, then they must have equal area.

Statement 2: If two figures A and B have equal area, then they must be congruent.

Consider the following two statements:
Statement - 1: If two figures have same shape and same size then they are called congruent.
Statement - 2: If two figures have equal area they are called congruent.
Now, choose the correct option.

If two figures have same area, they must be ___.

Q. Two figures are said to be congruent, if they have exactly the same ___ .

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