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Put 2 lines on the perpendicular sides and put 1 line for the parallel sides
A pair of parallel lines with a transversal will have the following pairs of angles. Alternate , Corresponding, Allied internal, allied external and Vertically Opposite. Unfortunately I cannot draw a diagram on this site in order to show you the positions of these angle - pairs.
The diagonals divide the quadrilateral into four sections. You can then use the bisection to prove that opposite triangles are congruent (SAS). That can then enable you to show that the alternate angles at the ends of the diagonal are equal and that shows one pair of sides is parallel. Repeat the process with the other pair of triangles to show that the second pair of sides is parallel. A quadrilateral with two pairs of parallel lines is a parallelogram.
Parallel lines have the same slope. So if you have y=x+20 for example, the slope is 1 and any parallel line has slope 1 also. I think your equation is x=y+20 but since the+ and - don't show up i am not sure If it is we can rewrite it as -y=-x+20 or y=x-20 and slope is still 1 so any parallel line has slope 1.
An equilateral triangle has 3 lines of symmetry