Geometry

Question Analysis

The main focus is to identify the correct notation for a dilation with a center at  and a scale factor of  by understanding the standard format of dilation notation.

 

Key Concept Explanation

The standard notation for dilation is , where  is the center of dilation,  is the scale factor, and  is a point being dilated. This format clearly defines the center and the scale factor of the transformation.

 

Step-by-Step Solution

1. Analyze each option:

For , the center of dilation is  and the scale factor is , which follows the correct notation format. Here,  is a point that could be dilated.

For