Name each of the following parallelograms.

Question:

Name each of the following parallelograms.

(i) The diagonals are equal and the adjacent sides are unequal.

(ii) The diagonals are equal and the adjacent sides are equal.

(iii) The diagonals are unequal and the adjacent sides are equal.

(iv) All the sides are equal and one angle is 60°.

(v) All the sides are equal and one angle is 90°.

(vi) All the angles are equal and the adjacent sides are unequal.

Solution:

(i) The diagonals are equal and the adjacent sides are unequal.

Hence, the given parallelogram is a rectangle.

(ii) The diagonals are equal and the adjacent sides are equal.

Hence, the given parallelogram is a square.

(iii) The diagonals are unequal and the adjacent sides are equal.

Hence, the given parallelogram is a rhombus.

(iv) All the sides are equal and one angle is $60^{\circ}$.

Hence, the given parallelogram is a rhombus.

(v) All the sides are equal and one angle is $90^{\circ}$.

Hence, the given parallelogram is a square.

(vi) All the angles are equal and the adjacent sides are unequal.

Hence, the given parallelogram is a rectangle.

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