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Describe a sequence of transformation that maps polygon ABCDE onto polygon FGHIJ

To describe the sequence of transformations that maps polygon \( ABCDE \) onto polygon \( FGHIJ \), let's break it down step by step by observing the diagram:

1. **Translation**:
   - The first transformation is a **translation**. Polygon \( ABCDE \) is shifted down and to the right to map to the general area where polygon \( FGHIJ \) is located. Specifically, point \( A \) moves from its original position to point \( F \). The translation vector seems to be \( (2 \text{ units right}, -6 \text{ units down}) \), or vector \( \langle 2, -6 \rangle \).

2. **Rotation**:
   - After the translation, the polygon must undergo a **rotation** to align its orientation with polygon \( FGHIJ \). A rotation of **90° clockwise** around point \( F \) (the new location of point \( A \)) seems to correctly align the vertices and edges of the polygons.

Thus, the sequence of transformations is:

1. Translate polygon \( ABCDE \) by vector \( \langle 2, -6 \rangle \) (2 units right and 6 units down).
2. Rotate the translated polygon by 90° clockwise around point \( F \).

Would you like more details or clarification? Here are 5 questions to deepen your understanding:

1. How do we verify if the translation and rotation were done correctly?
2. What are the coordinates of each point before and after the transformations?
3. What other transformation sequences could work to map \( ABCDE \) to \( FGHIJ \)?
4. Can reflections be part of the sequence instead of rotation?
5. How does the transformation affect the orientation of the polygon?

**Tip**: When applying transformations, always check the new positions of corresponding points to confirm alignment.

Describe a sequence of transformations that maps Polygon ABCDE onto Polygon FGHIJ.

Learn how to map polygon ABCDE onto polygon FGHIJ using a sequence of transformations, including translation and rotation. This problem explores key geometric concepts related to transformations, making it suitable for students in Grades 8-10.

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