Question

43AB.N1-2 -1 0-1С1 2 3 4 5 6 7 8 9 10In the similaritytransformation of AABCto ADEF, AABC was dilatedby a scale factor of [?],reflected across the [ ],and moved through thetranslation [ ].-2NOТЕ4-5A. 2B. 1/2C. 3D. 1/3

Answer 1

Given

In a similarity transformation of triangle ABC to triangle DEF, ABC was dilated.

To find the scale factor of dilation.

Explanation.

From the figure,

`\begin{gathered} Scale\text{ }factor=(DF)/(AC) \\ =(2)/(1) \\ =2 \end{gathered}`

It is reflected across the x-axis and moved from,

`(-2,2)\rightarrow(-2,-2)\rightarrow(1,-1)`

That implies,

`(2+2-1,-2+2+1)=(3,1)`

Hence, the scale factor is 2.