Geometry

Question Analysis

This question is centered around applying the concept of dilation when the scale factor is negative. The core task is to use the rules of dilation centered at the origin to determine the new coordinates of point .

Key Concept Explanation

Dilation with a scale factor centered at the origin transforms a point to . When is negative, it not only changes the size of the figure but also reflects it across the origin.

Step - by - Step Solution

1. We are given the point and a scale factor .

2. Apply the dilation formula:

For the -coordinate of : Multiply the -coordinate of by . So, .

For the

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