Geometry

Question Analysis  

The main focus is to determine the type of dilation when the scale factor .  

Key Concept Explanation  

Dilation with : Multiplying coordinates by 1 leaves the figure unchanged.  

Isometry: A transformation that preserves distance (e.g., translations, rotations, reflections). When , dilation is an isometry because the figure remains identical to the original.  

Step-by-Step Solution  

1. For , the dilation formula gives .  

2. Since the figure does not change size or shape, this qualifies as an isometry.  

Common Mistakes  

Forgetting that

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