1. The problem asks to identify corresponding angles after a rotation and verify answers about transformations and congruence. 2. For the rotation of figure KOPQ to KLMN, corresponding angles are those at vertices that map onto each other. Given angle N corresponds to angle P, and angle P corresponds to angle M, the answers are correct. 3. For the reflection of triangle DEF across the x-axis, the coordinates of vertices D, E, F change by negating the y-coordinate: - D(−2, 5) reflects to D'(−2, −5) - E(−3, 2) reflects to E'(−3, −2) - F(−6, 4) reflects to F'(−6, −4) These match the given coordinates, so the reflection is correct. 4. For the translation of figure TUVW to T'U'V'W', each x-coordinate decreases by 4 while y-coordinates remain the same, indicating a translation 4 units to the left. 5. Figures G and K are transformations of figure 1 that preserve parallel sides, confirming the correct choice. 6. For congruence of figures R and L: - Translate R 1 unit left, then rotate 180° clockwise: Yes, congruent. - Rotate R 180° counterclockwise, then translate 1 unit down: No, does not match L. - Reflect R across x-axis, then rotate 90° counterclockwise: No, does not match L. - Rotate R 90° counterclockwise, then reflect across y-axis: Yes, congruent. Final answers: - Corresponding angles: N and P, P and M. - Reflection coordinates: D'(−2, −5), E'(−3, −2), F'(−6, −4). - Translation: 4 units left. - Figures showing parallel sides preserved: G and K. - Congruence sequences: Yes, No, No, Yes.