1. The problem asks to identify the error in Bastian's conclusion that quadrilateral OPQR is similar to quadrilateral ONML because he used a sequence of rigid transformations and dilations. 2. Recall the definition of similarity in geometry: two figures are similar if one can be obtained from the other using **rigid transformations** (translations, rotations, reflections) **and/or dilations**. This preserves the shape but may change the size. 3. Bastian's mapping includes a dilation, which is allowed in similarity transformations. Reflection is also a rigid transformation and does not prevent similarity. 4. Therefore, if Bastian successfully mapped OPQR onto ONML using rigid transformations and dilations, **the figures must be similar**. 5. The options given are: - A: Using a reflection makes them not similar — Incorrect, reflection preserves similarity. - B: Using a dilation makes them not similar — Incorrect, dilation is a key similarity transformation. - C: No error — Correct based on the definition of similarity transformations. **Final answer: Option C. Bastian’s conclusion is correct.**