Geometry

Question Analysis

The main focus is to apply the concept of dilation with a negative scale factor centered at the origin to determine the coordinates of the dilated point.

Key Concept Explanation

Dilation with scale factor centered at the origin: For a point , the coordinates of the dilated point are found using the formula . When is negative, it not only changes the size of the point relative to the origin but also reflects it across the origin.

Step - by - Step Solution

1. Given the point and scale factor .

2. Apply the dilation formula:

For the - coordinate of :