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Do all trapeziums have diagonals of equal 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.
How can you tell whether four line segments will form a quadrilateral?
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,
Is a parrallelogram always a quadrilateral?
Yes, a parallelogram is always a quadrilateral.
Does a quadrilateral always have two congruent sides?
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.
What triangle always has sides of 3 different lengths?
It is a scalene triangle.
