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Q: What shape has no parellel sides and the adjacent length is equal and the diagonals of that shape intersects at a right angle?

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The sides are equal The angle between adjacent sides is 90 degrees There are two diagonals The diagonals are equal in length The diagonals make 90 degrees with each other The diagonals make 45 degrees with the sides

It can be a square or a rhombus

the diagonal in a paralleogram is not equal but the diagonals in the rectangle are congruent this is because the opposite sides of a parallelogram and rectangle are same parallel to each other but the adjacent sides of a parallelogram is not perpendicular where as the adjacent sides of rectangle is perpendicular to each other.

Its diagonals are equal in length

No. A kite is a quadrilateral (4 sided figure) with two pairs of adjacent sides of equal length; its diagonals are perpendicular. A triangle has 3 sides.

No. Even in the non-US use of the term (a quadrilateral with at least one set of parallel lines), the lengths of the parallel lines may not be the same, and/or the angles formed by each adjacent side may be different (as in a rhomboid), resulting in diagonals of extremely different lengths.Only in rectangles are diagonals "always" of equal length.

The diagonals of a parallelogram are parallel and the same length.

You divide the length of one adjacent side by the length of the other adjacent side.

No.

square

They are of equal length.

Yes they are 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.

no

Yes.

Yes.

The diagonals of a parallelogram are congruent (equal in length) and bisect each other.

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.

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).

rhombus

An isosceles trapezium.

yes

They are of the same length (congruent).

The diagonals are equal in length and cut each other at right angle.

Yes and the diagonals are not equal in length