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Q: Are the adjacent sides of a quadrilateral are always different lengths?

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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.

Four line segments can always form a quadrilateral, as long as none of them is longer than the sum of the lengths of the other three,

It is a scalene triangle.

A trapezium is always a quadrilateral.

No at all. Just take a pencil and draw any old three connected lines on a paper, and then close the box. Chances are that the four lines that you wind up with all have different lengths.

Related questions

False :]

No, all quadrilaterals are trapeziums. I kite must have 2 pairs of adjacent sides equal in length.

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 rhombus has adjacent angles being the same, and all sides are equal. However, it is not necessarily equiangular.

Four line segments can always form a quadrilateral, as long as none of them is longer than the sum of the lengths of the other three,

A rhombus always has 4 sides; A quadrilateral is a shape that always has 4 sides; ⇒ a rhombus is always a quadrilateral.

Yes, a parallelogram is always a quadrilateral.

It is a scalene triangle.

Yes, a quadrilateral is a four sided figure and a parallelogram has on top of this property the requirment that the opposite sides are parallel and equal in lengths.

A trapezium is always a quadrilateral.

No at all. Just take a pencil and draw any old three connected lines on a paper, and then close the box. Chances are that the four lines that you wind up with all have different lengths.

Scalene triangles

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