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To solve this problem, we need to translate quadrilateral \( ABCD \) 6 units to the right and 5 units down to find the new coordinates of quadrilateral \( EFGH \).

### Step-by-Step Solution

#### 1. Identify Initial Coordinates of \( ABCD \)
Let's find the current coordinates of each point of \( ABCD \) based on the grid:
- \( A \) is at (0, -2)
- \( B \) is at (2, -2)
- \( C \) is at (2, 0)
- \( D \) is at (0, 0)

#### 2. Apply the Translation
The problem states that \( ABCD \) is translated 6 units right and 5 units down. To apply this transformation:
- Moving 6 units to the right increases the \( x \)-coordinates by 6.
- Moving 5 units down decreases the \( y \)-coordinates by 5.

Let’s calculate the new coordinates for each point:

- \( E \) (corresponding to \( A \)) will be at:
  \[
  (0 + 6, -2 - 5) = (6, -7)
  \]

- \( F \) (corresponding to \( B \)) will be at:
  \[
  (2 + 6, -2 - 5) = (8, -7)
  \]

- \( G \) (corresponding to \( C \)) will be at:
  \[
  (2 + 6, 0 - 5) = (8, -5)
  \]

- \( H \) (corresponding to \( D \)) will be at:
  \[
  (0 + 6, 0 - 5) = (6, -5)
  \]

#### 3. Determine the Correct Orientation and Location
The translated quadrilateral \( EFGH \) will have vertices at:
- \( E(6, -7) \)
- \( F(8, -7) \)
- \( G(8, -5) \)
- \( H(6, -5) \)

This configuration matches the orientation of a rectangle with \( E \) and \( F \) on the bottom, and \( G \) and \( H \) on the top. Based on the options provided in the question, you should select the figure that aligns with these coordinates.

Would you like further clarification on any steps, or help with similar problems?

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Here are 5 related questions to explore:

1. How do translations affect the orientation of a shape on a coordinate plane?
2. What is the general formula for translating a point in the coordinate plane?
3. How would the translation change if we moved \( ABCD \) left and up instead?
4. Can translations ever change the size or shape of a figure?
5. How do we determine the distance a point has been translated?

**Tip:** When translating shapes, always apply transformations separately to the \( x \)- and \( y \)-coordinates to keep track of their new positions accurately.

Quadrilateral ABCD is translated 6 units right and 5 units down to create quadrilateral EFGH. Determine the correct orientation and location of quadrilateral EFGH.

Learn how to determine the location and orientation of quadrilateral EFGH by translating quadrilateral ABCD 6 units right and 5 units down on the coordinate plane. This exercise reinforces concepts in coordinate geometry and transformations, suitable for students in Grades 6-8.

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