For the dilation, DO, K = (10, 0) → (5, 0), the scale factor is equal to...?
Answer:
The scale factor is \(\frac{1}{2}\).
Step-by-step explanation:
The given rule of dilation is
\(D_{O,K}=(10,0)\rightarrow (5, 0)\)
It means the figure is dilated by scale factor K with center at origin.
If a figure dilated by scale factor K center at origin, then the scale factor is
\(K=\frac{\text{x-coordinate of image}}{\text{x-coordinate of preimage}}\)
The x-coordinate of image is 5 and the x-coordinate of preimage is 10. So, the scale factor is
\(K=\frac{5}{10}\)
\(K=\frac{1}{2}\)
Therefore the scale factor is \(\frac{1}{2}\).