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 and their dilated counterparts.

 

Key Concept Explanation

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

 

Step - by - Step Solution

1. Using point L and L':

The coordinates of L are and of L' are .

Calculate the scale factor using the - coordinates: .

Calculate using the - coordinates: .

2. Using point M and M' (for verification):

The coordinates of M are and of M' are

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