1. **Stating the problem:** We need to determine which polygons among the given shapes are congruent. 2. **Recall the definition of congruent polygons:** Two polygons are congruent if all their corresponding sides and angles are equal. 3. **Analyze the given polygons:** - Two right triangles each with vertical leg 2 and angles 72°, 153°, and 45°. - Two trapezoids each with one pair of parallel sides and pairs of congruent angles. - Two rectangles: one with sides 6 and 12, the other with sides 4 and 3. - A parallelogram and a square, both with all sides labeled 15. 4. **Check congruency:** - The two right triangles have the same angles and a vertical leg of length 2, so they are congruent by ASA (Angle-Side-Angle). - The two trapezoids have congruent angles and parallel sides, but side lengths are not given, so congruency cannot be confirmed. - The two rectangles have different side lengths (6x12 vs 4x3), so they are not congruent. - The parallelogram and square both have sides 15, but the square has all right angles while the parallelogram does not necessarily, so they are not congruent. **Final answer:** The two right triangles are congruent.