Geometry

Question Analysis

The main focus is to determine whether the transformation from the original figure to the dilated figure is an enlargement or a reduction and to calculate the scale factor when the origin is the center of dilation, using the given coordinates of corresponding points.

Key Concept Explanation

For a dilation centered at the origin, if the scale factor k>1, the transformation is an enlargement; if 0 < k < 1, it is a reduction. The scale factor  can be calculated by the formula  for a point  and its image .

Step - by - Step Solution

1. Given point  and its image

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