Subjects geometry

Dilation Scale Ccc57A

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1. **Problem Statement:** We are given two triangles, △FGH and its image △NOP after a dilation. We need to determine if the scale factor of the dilation is greater than or less than 1 based on the size of the image compared to the original. 2. **Understanding Dilation:** A dilation transforms a figure by enlarging or reducing it from a center point by a scale factor $k$. - If $k > 1$, the image is larger than the original. - If $0 < k < 1$, the image is smaller than the original. 3. **Given Information:** The image △NOP is larger than the original △FGH. 4. **Conclusion:** Since the image is larger, the scale factor $k$ must be greater than 1. 5. **Answer:** The correct choice is **B. The scale factor is greater than 1 because the image is larger than the original figure.**
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