The scale factor of the dilation that was done for the considered triangle is given by: Option C: 4
How does dilation works?
Dilation of a figure will leave its sides get scaled (multiplied) by same number. That number is called the scale factor of that dilation.
Its also called scaling of a figure, but due the involvement of coordinates, it involves a center of a dilation, which is like a pinned point which stays at same place after dilation.
Its like we enlarge or shorten the size of the figure (or keep it same, when scale factor = 1).
For this case, we are specified that:
Larger triangle is dilation of the smaller triangle.
The center of the dilation is (1,-1).
From graph, we see that the base of smaller triangle is of 2 units.
The base of the larger triangle is of 8 units.
Let the scale factor of dilation be 's'.
Then we have:
length of base of dilated triangle = s × length of base of original triangle
or
[tex]8 = s \times 2\\s = 8/2 = 4[/tex]
Thus, the scale factor of the dilation that was done for the considered triangle is given by: Option C: 4
Learn more about dilation here:
https://brainly.com/question/3266920
