Check whether the following figures are the shapes lying on the same base and between the same parallels?

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Solution

In fig (i) parallelogram ABCD and triangle AEF are between the same parallels AB and CD, but do not share the common base.

In fig (ii) parallelogram ABCD and triangle AEB are sharing the common base AB but not lying between the same parallels.

In fig (iii) parallelogram ABCD and parallelogram ABEF are on a common base AB and between the same parallels AB and DE.

In fig (iv) parallelogram ABCD and parallelogram ABEF are sharing a common base AB, but not lying between the same parallels.

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Similar questions

Out of the following given figures,which are on the same base but not between the same parallels?

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.

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