https://file.aiquickdraw.com/mathbot/file/1725488010758ur2yaaie.jpg

The image shows a sequence of transformations involving three triangles labeled 1, 2, and 3. To determine the correct combination of transformations, we can analyze how triangle 1 (the blue triangle) is transformed into triangle 2 (the green triangle) and then into triangle 3 (the yellow triangle).

1. **From Triangle 1 to Triangle 2**:
   - The blue triangle (1) is reflected across a vertical line (possibly the y-axis), resulting in the green triangle (2).

2. **From Triangle 2 to Triangle 3**:
   - The green triangle (2) is then rotated 90 degrees clockwise around the point where it shares a vertex with triangle 1, resulting in the yellow triangle (3).

Therefore, the sequence of transformations is **reflection, then rotation**.

The correct answer is: **Reflection, then rotation**.

Would you like further details or have any questions? Here are some related questions you might find interesting:

1. What are the key properties of a reflection transformation?
2. How do you determine the center of rotation for a geometric figure?
3. What is the difference between a rotation and a reflection?
4. How can you describe a translation transformation in coordinates?
5. What is the general rule for a 90-degree clockwise rotation on a coordinate plane?

**Tip:** When identifying transformations, it can be helpful to track key points or vertices of the shapes before and after each transformation. This makes it easier to recognize the specific type of transformation used.

What combination of transformations is shown below?

This problem asks students to identify the correct sequence of transformations between geometric shapes. It focuses on the concepts of reflection and rotation, key geometric transformations taught in grades 7-10.

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