A polygon is dilated with a scale factor of centered at the ...

Question Analysis

The main focus is to determine the effect of a negative fractional scale factor on a polygon, analyzing whether it results in enlargement/reduction and reflection/rotation.

Key Concept Explanation

Magnitude of : < 1, so the polygon is reduced (shrunk).

Sign of : The negative sign reflects the polygon across the origin (equivalent to a rotation about the origin).

Step-by-Step Solution

1. Note that (less than 1) → reduction occurs.

2. The negative sign in → reflection across the origin (coordinates change sign:

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