Geometry

Question Analysis

This question focuses on dilation. The main task is to determine the scale factor of the dilation centered at the origin by comparing the coordinates of the original points (R, S, T) and their dilated counterparts (R', S', T').

 

Key Concept Explanation

For dilation centered at the origin, if a point is dilated to , the scale factor can be calculated using the formula (when and ).

 

Step - by - Step Solution

1. Using point R and R':

The coordinates of R are and of R' are . Since , we use the - coordinates. .

2. Using point S and S':

The coordinates of S are and of S' are .

Using

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