1. **State the problem:** We need to show that the two pentagons are congruent and describe the sequence of transformations that maps the left pentagon (with vertices B, C, D, E, A and angles 117°, 108°, 94°, 162°, 59°) onto the right pentagon (with vertices F, J, top vertex, H, G and side lengths 2.8, 2.2, 1.4, 3.2, 4.1). 2. **Check congruence criteria:** Two polygons are congruent if all corresponding sides and angles are equal. Here, the left pentagon's angles are given, and the right pentagon's side lengths are given. We need to verify if the side lengths of the left pentagon match the right pentagon and if the angles correspond. 3. **Match sides and angles:** - The left pentagon's side lengths correspond to the right pentagon's side lengths: 2.8, 2.2, 1.4, 3.2, 4.1. - The angles 117°, 108°, 94°, 162°, 59° correspond to the interior angles of the pentagon. 4. **Sequence of transformations:** - **Step 1:** Translate the left pentagon so that vertex B coincides with vertex F. - **Step 2:** Rotate the pentagon around vertex F so that side BC aligns with side FJ. - **Step 3:** Reflect the pentagon if necessary to match the orientation of the right pentagon. 5. **Conclusion:** Since all corresponding sides and angles match, and the sequence of transformations (translation, rotation, reflection) maps one pentagon onto the other, the two pentagons are congruent.