https://file.aiquickdraw.com/mathbot/file/1726786213132wv829iqb.jpg

Here's the graph showing both the original triangle \( \triangle FGH \) and its dilation \( \triangle F'G'H' \) with a scale factor of 4, centered at the origin. The dilated triangle is larger and has been precisely scaled according to the given factor.

Would you like to explore any more details or do you have any other questions on this topic?

Here are a few more questions and a tip that could be of interest:

1. How would the graph change if the center of dilation was a point other than the origin?
2. What would the coordinates of the dilated triangle be if the scale factor was different, say 0.5?
3. Can you explain why the dilated triangle remains similar to the original triangle?
4. How would you calculate the area of the original and dilated triangles?
5. What is the impact of a negative scale factor on the dilation of a geometric figure?

**Tip:** When dealing with dilations, always remember that the angles remain the same in the dilated shape, ensuring that the original and the dilated shapes are similar.

Dilate triangle FGH by a scale factor of 4 with the center of dilation at the origin.

Graph the dilation of triangle FGH by a scale factor of 4, centered at the origin. This problem involves key geometry concepts like dilations and transformations, and explores how shapes are scaled while retaining similarity.

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