Geometry

Question Analysis

This question focuses on the concept of dilation. The main task is to apply a scale factor of  to Point G, with the origin as the center of dilation, and find the new coordinates of the dilated point.

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 given by the formula .

Step - by - Step Solution

1. Determine the coordinates of Point G. From the graph, Point G has coordinates .

2. Apply the dilation formula with .

For the  - coordinate: .

For the  - coordinate:

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