Question: 1. Line segment EF is dilated by a scale factor of $3$ centered at the origin. How does the length of the dilated line segment compare to EF? The length of EF is doubled. The length of EF multiplied by $3$. The length of EF remains the same. The length of EF is divided by $3$.

1. **State the problem:** We have a line segment $EF$ that undergoes a dilation centered at the origin with a scale factor of $3$. 2. **Recall the dilation rule:** When a figure is dilated by a scale factor $k$ centered at the origin, every length in the figure is multiplied by $k$. 3. **Apply the rule:** Since the scale factor is $3$, the length of the dilated line segment will be $3$ times the original length of $EF$. 4. **Conclusion:** The length of the dilated line segment is multiplied by $3$ compared to the original length of $EF$.