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.
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No as for example the diagonals of a rectangle are equal in length whereas they are not equal in length in a parallelogram
Four sided figure. All sides are the same length. All angles are equal. Four right angles. Both diagonals are equal.
To determine which statement is not true for all parallelograms, let's review the properties of parallelograms in general. A parallelogram is a quadrilateral with the following properties: Opposite sides are parallel. Opposite sides are equal in length. Opposite angles are equal. Consecutive angles are supplementary (i.e., their sum is 180 degrees). Diagonals bisect each other (each diagonal cuts the other into two equal parts). Given these properties, we can formulate some statements about parallelograms and identify which one is not universally true. Here are a few statements, with one being false: Opposite sides of a parallelogram are parallel. Opposite angles of a parallelogram are equal. The diagonals of a parallelogram are equal in length. The diagonals of a parallelogram bisect each other. Analysis: **Statement 1** is true: By definition, opposite sides of a parallelogram are parallel. **Statement 2** is true: Opposite angles in a parallelogram are equal. **Statement 4** is true: The diagonals of a parallelogram bisect each other. Statement 3: The diagonals of a parallelogram are equal in length This statement is **not true for all parallelograms**. It is only true for special types of parallelograms such as rectangles and squares, where the diagonals are equal. In a general parallelogram, the diagonals are not necessarily of equal length. Thus, the statement **"The diagonals of a parallelogram are equal in length"** is not true for all parallelograms.
not in all shapes.
By definition, a rhombus is a parallelogram with all its sides equal in length and is symmetrical about each of its diagonals..A square is a rectangle with all its sides equal in length and is symmetrical about its diagonals and the axes perpendicularly bisecting each pair of opposite sides.Consequently, a square can never be a rhombus but it could be argued that a rhombus whose vertex angles all become 90° then becomes a square.