the sides that are parallel of each other are equal.
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True, but that was not the question!
In general, the diagonals are not of equal length.
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yes it is it is a parallelogram of its angles is right or The two diagonals are equal in length
An isosceles trapezoid will have diagonals of equal length but will never contain right angles by definition. A square and rectangle will have diagonals of equal length but will contain 4 right angles. A rhombus and any other parallelogram that does not contain right angles will not have diagonals of equal length.
they are called parallelogram in which diagonals are equal
This is false for all rhomboids (a distinct parallelogram such that 4 sides are equal, and has non-right angles), since by congruency, a parallelogram can be flipped on its axis (with 2 closer vertices), producing 2 unequal length diagonals.
It is a rhombus. All four sides have the same length and the diagonals are therefore perpendicular.