Geometry

Question Analysis

The main focus is to use the rule for dilation with a negative scale factor centered at the origin to find the coordinates of the dilated point.

Key Concept Explanation

Dilation with scale factor centered at the origin: For a point , the dilated point has coordinates . When is negative,  it not only resizes the point 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 : ....