1. **Stating the problem:** You are asked to identify types of transformations (translation, reflection, rotation) applied to geometric figures on grids and describe combined transformations. 2. **Understanding transformations:** - **Translation:** sliding a figure without rotating or flipping it. - **Reflection:** flipping a figure over a line (mirror image). - **Rotation:** turning a figure around a fixed point, clockwise or counterclockwise. 3. **Analyzing Graph 1:** - Pink triangle flipped and rotated: this is a **rotation** combined with a **reflection**. - Orange shape slightly rotated: this is a **rotation**. - Green, blue, yellow shapes each rotated or reflected relative to each other: identify each as either **rotation** or **reflection** based on orientation and position. 4. **Analyzing Graph 2:** - Center dark blue shape is the original. - Surrounding shapes A, B, C, D, E, F, G, H are transformed versions. - Identify each transformation by comparing position and orientation to the center shape: - If shape is shifted without rotation or flip, it's a **translation**. - If shape is flipped over a line, it's a **reflection**. - If shape is turned around the center, it's a **rotation**. 5. **Describing combined transformations:** - Some figures may have undergone more than one transformation, e.g., a rotation followed by a translation. 6. **Summary:** - Write "translation", "reflection", or "rotation" on the line for each figure based on the above analysis. Since this is a conceptual identification task without numeric calculations, no formulas are needed.