https://file.aiquickdraw.com/mathbot/file/1725740227233jb7l80ex.jpg

The image shows two congruent hexagons \( JKL\_MNO \) and \( STU\_VWX \), with the question asking which sequence of transformations can be applied to hexagon \( JKL\_MNO \) to produce hexagon \( STU\_VWX \).

Based on the visual information, we are tasked with identifying the sequence of transformations such as rotation, reflection, translation, or dilation that will align the two hexagons. Since the two hexagons are congruent, there is no need for dilation (scaling), and the transformations should involve rotations, reflections, and translations.

### Analysis:
1. **Congruence**: Since the two hexagons are congruent, any transformation that maps one onto the other must preserve size and shape, ruling out dilation (option 1).
2. **Rotation and Reflection**:
   - A **rotation** seems necessary to align the orientation of the two shapes. The second hexagon appears to be a rotated version of the first.
   - **Reflection** might also be required if the hexagons are mirror images after rotation.
   
### Answer choices breakdown:
- **Dilations** (option 1) are not necessary since the shapes are congruent.
- **Translation and rotation** (option 3) seems reasonable since the hexagons might just be rotated and shifted without any reflection.
- **Reflections** (options 2 and 4) could work if the hexagons are flipped and then shifted.
  
### Likely Answer:
It appears that a **translation followed by a rotation** of 180° would align the two hexagons. Hence, **Option 3: A translation right followed by a rotation of 180°** seems to be the correct answer.

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Would you like more details or have any further questions? Here are some additional related questions:

1. What is a congruent transformation in geometry?
2. How do rotations and reflections affect congruent figures?
3. How can you determine the degree of rotation required to map one figure onto another?
4. What is the difference between translation and reflection in geometric transformations?
5. How do you combine multiple transformations to map one figure onto another?

**Tip**: When working with transformations, it's helpful to mentally trace the shape's movement after each transformation step.

Which sequence of transformations can be applied to hexagon JKL_MNO to produce hexagon STU_VWX?

Explore how transformations such as rotation, translation, and reflection can be applied to congruent hexagons. Learn which sequence of transformations aligns hexagon JKL_MNO with STU_VWX. This question is ideal for students in Grades 8-10 studying geometric transformations.

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