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The image depicts two quadrilaterals, one solid and one dashed, where the dashed figure is the image of the solid figure, possibly after a transformation (such as translation, reflection, rotation, etc.). The task is to identify the image of angle \( \angle D \) from the solid figure.

To do this, we can use the corresponding points in the two figures. Here are the points:

- The solid figure has points \( D, E, F, C \).
- The dashed figure has points \( R, S, T, Q \).

The problem asks for the image of \( \angle D \), which corresponds to \( \angle R \) in the dashed figure because \( D \) and \( R \) occupy the same relative position in their respective quadrilaterals.

Thus, the correct answer is:

**\( \angle R \)**, option **b**.

Would you like any further details or clarifications?

Here are 5 related questions to expand this:

1. How can we determine the corresponding points between two figures after a transformation?
2. What types of transformations preserve the angles between corresponding figures?
3. How do you identify the image of a figure after a reflection versus a rotation?
4. What properties of quadrilaterals remain unchanged after transformations?
5. Can the orientation of figures change depending on the type of transformation applied?

**Tip:** When identifying corresponding angles after a transformation, always look for the same relative positions in both the original and transformed figures.

In the diagram, the dashed figure is the image of the solid figure. Name the image of ∠D.

Learn how to identify corresponding angles in geometric transformations using angle correspondence rules. This problem focuses on the identification of corresponding angles after transformations like translation or rotation. Suitable for students in Grades 7-9.

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