octagon
A rectangle. Obviously the right angles are in the four corners of the rectangle. The lines of symmetry occur across the horizontal and vertical. There are no lines of symmetry on the diagonal.
The shape that has no lines of symmetry and rotational symmetry order 4 is a scalene triangle. A scalene triangle is a triangle with three unequal sides and three unequal angles. It does not have any lines of symmetry because its sides and angles are not equal, and it has rotational symmetry of order 4 because it looks the same after being rotated by 90, 180, or 270 degrees.
The shape you are describing is a trapezoid. A trapezoid is a quadrilateral with at least one pair of parallel sides. It can have two right angles, but it does not have any lines of symmetry due to its asymmetrical nature.
a square
Pentagon
Square
There is no such shape. A 2d shape with 5 sides and all equal angles must be a regular pentagon (or a 5-pointed star if you stretch the definition of "all angles"). And a regular pentagon - or star - has 5 lines of symmetry.
octagon
Impossible.
An irregular quadrilateral.
The shape that has three lines of symmetry is the equilateral triangle. It also has three angles of equal size and three sides of equal length.
If your asking what shape has three lines of symmetry, your answer would be an equilateral triangle. You can tell how many lines of symmetry a shape that has all angles of the same measure has by looking at it's angles. Ex., pentagon has five angles--five lines of symmetry; octagon has eight angles, eight lines of symmetry; etc.
rhombus
a square
7
square and rectangles are technicality squares