Geometry

Question Analysis

The key task is to determine the coordinates of the dilated point  using the given point , scale factor , and center of dilation . We'll apply the dilation formula to achieve this.

Key Concept Explanation

The formula for dilating a point  with respect to a center  by a scale factor  is . It accounts for the relative position of the point to the center and the scaling effect.

Step - by - Step Solution

1. Identify the values: Here, , , , , and .

2. Calculate the  - coordinate of :

First, find : .

Then, calculate

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