The word "shape" is poorly defined in a mathematical context. I will presume that you mean polygons and other closed continuous curves in R2 space.
A slanted rectangle is a parallelogram, which is a convex polygon. It is so named, because although a parallelogram does not have right angles in its interior, the opposite sides are still parallel.
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parallelegram is the name it is a rectangle that is sort of slanted
A parallelogram.
A parallelogram is slanted. A rectangle is not.
A parallelogram is a four-sided shape with opposing sides being parallel. Therefore, a parallelogram may be a square, a rectangle, a rhombus (a sort of slanted square), or the shape most commonly referred to as a parallelogram is a sort of slanted rectangle. (Trapezoids are NOT parallelograms because only one pair of opposing sides are parallel)
A parallelogram