Which among the following is correct?
Parallelograms on the same base and between the same set of parallel lines:

have unequal areas

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have the same perimeter

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may have equal or unequal areas

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have equal areas

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Solution

The correct option is D
have equal areas

A theorem states that parallelograms on the same base or equal bases and between the same parallels are equal in area. The converse is also true.

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Similar questions

Choose the correct statements from the following:

Statement 1: All the parallelograms having the same base and lying between the same parallels have equal areas.

Statement 2: All the parallelograms having the same base and lying between the same parallels have same perimeters.

Statement 3: Of all the parallelograms having same base and lying between same parallels, rectangle will have the smallest perimeter.

Statement 4: All the parallelograms having equal areas must have the same base but they may or may not lie between the same parallels.

If two parallelograms have the same (or equal) bases and are between the same parallel lines, their areas will be equal.

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