Geometry

Question Analysis

The main focus is to understand how to use a negative scale factor to find the coordinates of a dilated point when the center of dilation is the origin.

Key Concept Explanation

- Dilation with a scale factor centered at the origin: For a point , the coordinates of the dilated point are given by . When is negative, it not only changes the size of the figure but also reflects the point across the origin.

Step - by - Step Solution

1. Given the point and scale factor .

2. Apply the dilation formula .

For the - coordinate of :

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