A scalene triangle has no lines of reflection symmetry. In fact, there are no other possibilites of types of reflection symmetry for triangles. Classify all quadrilaterals by reflection symmetry and convexity. Some of these types may not have anything to do with reflection symmetry. Prove that you haven't missed any types in your classification.
All edges are equal, except for the long edge of the trapezoid.
Make a pattern block template out of a piece of cardboard. Draw the 6 pieces on the cardboard, making sure you have the same side lengths. Leave the construction marks showing. Put the cardboard on another piece of cardboard to protect the table, and cut holes where the pattern block shapes are. Now you can trace around the holes to get lots of copies of the shapes.