The image shows a grid with three shapes labeled 1, 2, and 3, and the question asks, "What combination of transformations is shown below?" There are several multiple-choice options available:

• Translation, then reflection
• Translation, then rotation
• Reflection, then translation
• Reflection, then rotation

Analysis:

• Shape 1 (blue) seems to have undergone a transformation to result in Shape 2 (green). These two shapes are oriented differently.
• Shape 2 (green) appears to undergo another transformation to become Shape 3 (orange), with a different orientation again.

Looking closely at the transitions:

1. From Shape 1 to Shape 2: The transformation appears to be a reflection across a line (possibly the vertical axis) as the orientation is reversed.
2. From Shape 2 to Shape 3: This looks like a translation since the shape has moved but retains its orientation.

Thus, the correct combination of transformations is reflection, then translation.

You should select "Reflection, then translation" as the answer.

Would you like further details or have any questions? Here are some questions to consider:

1. What is the definition of a reflection in geometry?
2. How can you recognize a translation versus a rotation?
3. Why is Shape 2 a reflection of Shape 1?
4. Can you identify another example of reflection and translation in real life?
5. How does rotation differ from reflection in terms of orientation?

Tip: When identifying transformations, always check the orientation of the shapes—reflections change orientation, while translations keep it the same!