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A quadrilateral with equal diagonals and no right angles?
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.
Diagonal of a square?
A square has 2 diagonals that are equal in length and bisect each other at right angles.
Are diagonals in a parallelogram equal in length?
the sides that are parallel of each other are equal. * * * * * True, but that was not the question! In general, the diagonals are not of equal length.
Are the diagonals of a rhombus perpendicular and bisect each other?
Yes, they are perpendicular and intersect at their midpoints. The difference between diagonals in a rhombus as opposed to a rectangle or square is that the diagonals are not of equal length.
Are the diagonals of a square always congruent?
Yes the diagonals of a square are always congruent. Their length is a*root 2 where a is the side of the square.
