No, not all rectangles are similar because the proportions are different.
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yes all golden rectangles are simalar as well as their ratios
Two rectangles are similar if corresponding angles are equal and the corresponding sides are proportional.
Yes, all rectangles are parallelograms. However, not all parallelograms are rectangles.
In fact, some are rectangles, but not all are.
All rectangles are quadrilaterals. A quadrilateral has 4 sides; all rectangles have 4 sides; thus all rectangles are quadrilaterals.