https://file.aiquickdraw.com/mathbot/file/1726168780521qnmr2z39.jpg

To describe the sequence of transformations that shows how quadrilateral ABCD is congruent to quadrilateral EFGH, we can break it down into the necessary steps based on the image.

### Analysis:

1. **Identify Coordinates**:
   - Quadrilateral ABCD:
     - A: (5, 5)
     - B: (1, 5)
     - C: (1, 2)
     - D: (5, 2)
   - Quadrilateral EFGH:
     - E: (5, 2)
     - F: (1, 2)
     - G: (1, -1)
     - H: (5, -1)

2. **Transformation Plan**:
   - The two quadrilaterals have the same dimensions but are positioned differently on the grid. We will find the sequence of transformations that map ABCD onto EFGH.

### Sequence of Transformations:

1. **Translation**:
   - Translate quadrilateral ABCD down by 3 units. This maps point A from (5, 5) to (5, 2), point B from (1, 5) to (1, 2), point C from (1, 2) to (1, -1), and point D from (5, 2) to (5, -1).
   - Now, quadrilateral ABCD has moved to the position of quadrilateral EFGH.

No further transformations (such as rotations or reflections) are needed as the two quadrilaterals are now aligned and congruent.

Would you like more details or have any questions about this transformation?

Here are 5 related questions to explore:
1. What is the definition of congruent figures in geometry?
2. How does translation differ from reflection and rotation in terms of transformation?
3. What are the properties of translations in the coordinate plane?
4. Can multiple transformations be used to map any two congruent shapes?
5. What real-world applications use transformations like translation?

**Tip:** Translations maintain the shape's orientation, while reflections and rotations may change it.

Describe a sequence of reflections, rotations, and translations that shows that quadrilateral ABCD is congruent to quadrilateral EFGH.

Explore how to map quadrilateral ABCD onto quadrilateral EFGH using translations in this geometry problem. Learn about congruence, geometric transformations, and how translations maintain shape properties. This problem is suitable for students in Grades 8-10.

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