A square :-)
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right angled triangle does not have all equal sides
A quadrilateral that has one (and only one) pair of parallel sides is a trapezoid. It is isosceles of the non-parallel sides are of equal length. It is right angled if any one of the angles is 90 degrees.
a rhombus, a quadrilateral without right angle, a quadrilateral with equal opposite parallel sides but no right angles
If a set of equal sides are adjacent, then the quadrilateral is a "kite" shape. If a set of equal sides are opposite, then the quadrilateral is a parallelogram.
a rectangle