The dilation of the dashed triangle is an enlargement because the scale factor is a whole number which is: 3.
Recall:
- Dilation reduces or enlarges a figure/shape
- The image of a dilation is the original image before reduction or enlargement occurred.
- The scale copy is the new image formed after reduction or enlargement as the case may be.
- Scale factor = any side length of the new image / corresponding side length of the old image
- If the scale factor is a fraction, the dilation it's a reduction.
- If the scale factor is a whole number, the dilation is an enlargement.
Thus:
Find the distance between the points (2, -2) and (0, -2) for the dashed triangle.
- Distance between (2, -2) and (0, -2) = 2 units
Find the corresponding distance for the solid triangle using points (6, -6) and (0, -6):
- Distance between (6, -6) and (0, -6) = 6 units
Scale factor = [tex]\mathbf{\frac{6}{2} = 3}[/tex]
The scale factor is a whole number, so, the dilation is an enlargement.
In summary, the dilation of the dashed triangle is an enlargement because the scale factor is a whole number which is: 3.
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