the diagonals are equal but the adjacent sides are not equal
which paralelogram is it?
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Answer:
A rhombus has unequal diagonals but adjacent sides are equal. So it is ruled out. A kite has opposite sides that are not parallel. It has unequal diagonals but two pairs of adjacent sides are equal.
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Rectangle is the parallelogram which has equal diagonals but the adjacent sides are not equal.
- The four sided geometrical shapes which have parallel opposite sides, are known as the parallelogram.
- Now, based upon the above mentioned principle, there are different types of parallelogram, like rhombus,square, rectangle etc.
- Now, only the square and rectangle have diagonals of equal lengths. So, we have to choose one of these two shapes which will satisfy the second criteria also.
- Now, the square has all equal sides, so the adjacent sides will be equal. But, in the case of a rectangle, only the opposite sides are equal, so adjacent sides are not equal.
- In this way, the rectangle becomes the correct answer of this question.
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