Geometry

Question Analysis

The main focus is to use a scale factor of 7 to dilate Point B, with the origin as the center of dilation, and find its new coordinates.

Key Concept Explanation

For dilation centered at the origin, if a point  is dilated by a scale factor , the new coordinates  are calculated as . When k > 1, it causes an enlargement of the figure.

Step - by - Step Solution

1. Identify the coordinates of Point B. Point B has coordinates .

2. Apply the dilation formula with .

For the  - coordinate: