Geometry

Question Analysis

This question focuses on dilation. The main task is to determine whether the transformation from points A, B, C to A', B', C' represents a dilation by checking if there is a consistent scale factor.

 

Key Concept Explanation

For a dilation centered at the origin, if a point is transformed to , then and , where is the scale factor. If the ratio is the same for multiple points,  it is a dilation.

 

Step - by - Step Solution

1. For point A and A':

Given and .

Calculate the ratio of - coordinates: .

Calculate the ratio of - coordinates: .

2. For point B and B':

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