Respuesta :
The scale factor of the dilatation is given by: Option C. 2
How to calculate the scale factor?
Suppose the initial measurement of a figure was x units.
And let the figure is scaled and new measurement is of y units.
Since the scaling is done by multiplication of some constant, that constant is called scale factor. Let that constant be 's'.
Then we have:
[tex]s \times x = y\\s = \dfrac{y}{x}[/tex]
Thus, scale factor is the ratio of the new measurement to the old measurement.
The missing figure for the given problem is attached below. From the figure, we can see that:
Bottom side of larger triangle extends from -4 to 2 (2 - (-4) = 6 units length)
Bottom side of smaller triangle extends from -1 to 2 (2 - (-1) = 3 units length)
Thus, the scale factor by which smaller triangle is dilated to make larger triangle is:
[tex]S = \dfrac{\text{Length of a side of larger triangle}}{\text{Length of corresponding side of smaller triangle}} =\dfrac{6}{3} = 2[/tex]
(we take those side pairs which are scaled version of each other, so for this case, we took bottom side of both triangles).
Thus, the scale factor of the dilatation is given by: Option C. 2
Learn more about scale factor here:
https://brainly.com/question/8765466
