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The problem asks for the single transformation that maps quadrilateral **EFGH** to quadrilateral **E'F'G'H'**. Let's analyze the coordinates:

**Quadrilateral EFGH:**
- \( E(-5, 5) \)
- \( F(-3, 4) \)
- \( G(-2, 1) \)
- \( H(-4, 2) \)

**Quadrilateral E'F'G'H':**
- \( E'(-5, 2) \)
- \( F'(-3, 1) \)
- \( G'(-2, -2) \)
- \( H'(-4, -1) \)

### To find the transformation:
We can compare the coordinates of each point. The x-coordinates of corresponding points remain unchanged, while the y-coordinates all decrease by 3. This indicates a **translation of 3 units down** (as every point moves vertically downward by 3 units).

For example:
- \( E \) moves from \( (-5, 5) \) to \( (-5, 2) \), a decrease of 3 in the y-coordinate.
- \( F \) moves from \( (-3, 4) \) to \( (-3, 1) \), a decrease of 3 in the y-coordinate.

Thus, the correct transformation is **a translation of 3 units down**, which matches the selected answer.

Would you like further details or clarification?

Here are some related questions you could explore:
1. How do you recognize different types of transformations (e.g., reflection, rotation)?
2. What would a translation of 3 units to the left look like in terms of coordinate changes?
3. How can you verify if two quadrilaterals are congruent after a transformation?
4. Can a single transformation ever include both a reflection and a translation?
5. How do you write the general formula for a translation in the coordinate plane?

**Tip:** Always check how both x- and y-coordinates change to determine the type of transformation accurately.

Which single transformation maps Quadrilateral EFGH to Quadrilateral E'F'G'H'?

Explore how to map Quadrilateral EFGH to E'F'G'H' using a single transformation. This problem involves understanding translations in coordinate geometry, with a focus on identifying the vertical shift. Perfect for students in Grades 7-9.

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