yes
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They both have rotational symmetry - of order 2. But whereas a rectangle has 2 axes of symmetry, a parallelogram has none.
Yes, a shape is symmetrical if it can be cut in half in any way, and be the same on both sides.
Some have symmetry , but not all !!! Square, Rectangle, Rhombus, Kite all have symmetry. A trapezium can be both asymmetric, and symmetric.
Symmetric
yes, it is both symmetric as well as skew symmetric