(1) Dilate from center A by scale factor 2 and then reflect over line AC
hence option (1) is correct.
Given
AC =6
The sequence of transformations that would show that Δ ABC and
Δ AED are similar
For similar triangles we can say that sides are proportional
from Δ ABC and
Δ AED we write that
[tex]\rm \dfrac{AE}{AB } = \dfrac{ED}{BC}= \dfrac{AD}{AC}\\\\\\\rm \dfrac{4}{8} =\dfrac{2}{4} = \dfrac{3}{AC}[/tex]
We can clearly see that scale factor of dilation is 2 (given AC=6) , also we need reflection over line AC. hence from given options.
(1) Dilate from center A by scale factor 2 and then reflect over line AC
(2) Dilate from center A by scale factor 2 and then rotate 60° around angle A.
(3) Translate by directed line segment DC and then reflect over line AC.
(4) Dilate from center A the by scale factor 4 and then reflect over line AC
hence option (1) is correct.
For more information please refer to the link below
https://brainly.com/question/20502441
