Transformation that changes the size of a shape is referred to as dilation.
- The scale factor that moves the large triangle to the small one is 1/5
- The center of dilation is: (-1,1)
The center of dilation
From the diagram (see attachment), the triangles share a common vertex at (-1,1)
This means that, the center of dilation is (-1,1)
The scale factor of dilation
To do this, we divide the side length of the small triangle with the corresponding side of the large triangle.
From the attached image:
[tex]\mathbf{Base\ of\ small\ triangle = 1}[/tex]
[tex]\mathbf{Base\ of\ large\ triangle = 5}[/tex]
So, the scale factor (k) from large to small is:
[tex]\mathbf{k = \frac{Base\ of\ small\ triangle}{Base\ of\ large\ triangle} }[/tex]
[tex]\mathbf{k = \frac{1}{5} }[/tex]
Read more about dilation at:
https://brainly.com/question/13176891
