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AC = 6
7. Select the sequence of transformations
that would show that triangles ABC and
AED are similar. The length of AC is 6.
B
4
С
8
2
3
E
A

AC 6 7 Select The Sequence Of Transformations That Would Show That Triangles ABC And AED Are Similar The Length Of AC Is 6 B 4 С 8 2 3 E A class=

Sagot :

Cari8788

Answer:

Dilate from center A by scale factor of 2, then reflect over line AC

Step-by-step explanation:

rahulsharma789888

(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

                                                                                                                                         

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