Subjects geometry

Dilation Enlargement 8C673B

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1. The problem asks whether the dilation of Figure A to Figure B is an enlargement or a reduction. 2. Dilation is a transformation that changes the size of a figure by a scale factor relative to a center point. 3. If the scale factor is greater than 1, the dilation is an enlargement (the figure gets bigger). 4. If the scale factor is between 0 and 1, the dilation is a reduction (the figure gets smaller). 5. From the description, Triangle A has legs of length 1, and Triangle B has legs of length 5. 6. The scale factor is calculated as $$\text{scale factor} = \frac{\text{length of image}}{\text{length of preimage}} = \frac{5}{1} = 5$$ 7. Since the scale factor 5 is greater than 1, the dilation shows an enlargement. Final answer: The dilation shows an enlargement.