Questions: Th. Frey drew a map of the summer camp he is staying at this summer. He graphed the point D(-4.5,4.5) for the dining hall. The flag pole is located at Q, a reflection of D across the y-axis. The campfire is located at D', a reflection of D across the x-axis. Identify the ordered pair that describes the location of the campfire.

Th. Frey drew a map of the summer camp he is staying at this summer. He graphed the point D(-4.5,4.5) for the dining hall. The flag pole is located at Q, a reflection of D across the y-axis. The campfire is located at D', a reflection of D across the x-axis. Identify the ordered pair that describes the location of the campfire.
Transcript text: Th. Frey drew a map of the summer camp he is staying at this summer. He graphed the point $D(-4.5,4.5)$ for the dining hall. The flag pole is located at $Q$, a reflection of $D$ across the $y$-axis. The campfire is located at $D'$, a reflection of $D$ across the $x$-axis. Identify the ordered pair that describes the location of the campfire.
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Solution

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Solution Steps

Step 1: Identify the coordinates of point \( D \)

The coordinates of point \( D \) are given as \( (-4.5, 4.5) \).

Step 2: Reflect point \( D \) across the \( y \)-axis to find point \( Q \)

Reflecting a point across the \( y \)-axis changes the sign of the \( x \)-coordinate while keeping the \( y \)-coordinate the same. Thus, the coordinates of point \( Q \) are: \[ Q(4.5, 4.5) \]

Step 3: Reflect point \( D \) across the \( x \)-axis to find point \( D' \)

Reflecting a point across the \( x \)-axis changes the sign of the \( y \)-coordinate while keeping the \( x \)-coordinate the same. Thus, the coordinates of point \( D' \) are: \[ D'(-4.5, -4.5) \]

Final Answer

\(\boxed{(-4.5, -4.5)}\)

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