A hexagon is the simplest shape, and the only regular polygon, with 6 lines of symmetry.
Right angle triangle, yup that's right
A pentagon has 5 lines of symmetry and no right angle.
A trapezoid!
A shape with no right angles and one pair of parallel lines would be called a trapezoid in the USA, and a trapezium in Britain.
Parallelogram
a pentagon
A parallelogram
A Trapizoid.
its impossible; the two perpendicular lines already make four right angles.
None
The rhombus.