#### Answer

1. TWX is isosceles--given.
2. The angles of the bases of isosceles triangles are congruent, so X and W are congruent.
3. RY and WX are parallel.
4. Thus, angle W and angle WRY are supplementary, and angle X and angle XYR are supplementary.
5. Since it is a four-sided shape with opposite angles being supplementary and corresponding angles being congruent, it is a trapezoid.