Point D*D* is located at left parenthesis, minus, 3, comma, minus, 6, right parenthesis(−3,−6) on the coordinate plane. Point D*D* is reflected over the x*x*-axis to create point D, prime*D*′. Point D, prime*D*′ is then reflected over the y*y*-axis to create point D, start superscript, prime, prime, end superscript*D*′′. What ordered pair describes the location of D, start superscript, prime, prime, end superscript, question mark*D*′′?

To solve this, we will follow the reflection steps carefully.

### Step 1: Reflect point \( D(-3, -6) \) over the x-axis
When reflecting a point over the x-axis, we change the sign of the \( y \)-coordinate, while the \( x \)-coordinate remains unchanged. So:

\[
D'(-3, -6) \rightarrow (-3, 6)
\]

Now, point \( D' \) is at \( (-3, 6) \).

### Step 2: Reflect point \( D'(-3, 6) \) over the y-axis
When reflecting a point over the y-axis, we change the sign of the \( x \)-coordinate, while the \( y \)-coordinate remains unchanged. So:

\[
D'(-3, 6) \rightarrow (3, 6)
\]

Thus, the coordinates of \( D'' \) (point \( D \) reflected over both axes) are \( (3, 6) \).

### Final Answer:
The ordered pair that describes the location of \( D'' \) is \( (3, 6) \).

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Would you like further clarification on any step? Here are 5 related questions to expand your understanding:

1. How do you reflect a point over the y-axis?
2. What happens if you reflect a point over both axes simultaneously?
3. How do you reflect a point over the origin?
4. What are the general rules for reflections in the coordinate plane?
5. Can a point's location remain the same after a reflection?

**Tip:** Reflections in the coordinate plane follow simple rules: over the x-axis, you negate the \( y \)-coordinate, and over the y-axis, you negate the \( x \)-coordinate.

Point D is located at (−3,−6) on the coordinate plane. Point D is reflected over the x-axis to create point D′. Point D′ is then reflected over the y-axis to create point D′′. What ordered pair describes the location of D′′?

Learn how to reflect the point D(-3,-6) over the x-axis and y-axis on the coordinate plane to find the location of D′′. This problem explains key concepts in coordinate geometry, including the rules for reflections over the axes. Ideal for students in Grades 6-8.

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