Yes, but only when the shape is a rectangle (or square). Other paralleograms will have one diagonal longer than the other. And yes, rectangles and squares ARE parallelograms.
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The diagonals of a parallelogram are parallel and the same length.
In general, the diagonals of a parallelogram are NOT the same length. They're equalonly when the parallelogram is either a rectangle or a rhombus (including square).
Its diagonals are equal in length
parallelogram * * * * * Not true. Rectangles and squares do, but other parallelograms do not.
No as for example the diagonals of a rectangle are equal in length whereas they are not equal in length in a parallelogram