Geometry

Question Analysis

This question focuses on the concept of dilation. The main task is to use the given scale factor of and the origin as the center of dilation to find the new coordinates of Point X.

Key Concept Explanation

For dilation centered at the origin, if a point has coordinates and the scale factor is , the coordinates of the dilated point are determined by the formula .

Step - by - Step Solution

1. First, identify the coordinates of Point X. From the graph, Point X has coordinates .

2. Apply the dilation formula with .

For the - coordinate: .

For the - coordinate:

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