Geometry

Question Analysis

The main focus is to determine whether the transformation is an enlargement or a reduction and to find the scale factor when the origin is the center of dilation. This is done by comparing the coordinates of corresponding points in the original and dilated figures.

Key Concept Explanation

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

Step - by - Step Solution

1. Let's take point  with coordinates  and its image  with coordinates

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