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.

Suggest Corrections

Similar questions

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.

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.

Question 92

State whether the statement is True or False.

Two figures are congruent if they have the same shape.

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 ___.

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