Answer:
hey hope this helps 
Comparing sides AB and DE 
AB = 
[tex] \sqrt{ {1}^{2} +  {1}^{2}  } [/tex]
[tex] =  \sqrt{2} [/tex]
DE 
[tex]  = \sqrt{ {(3 - 5)}^{2} +  {(1 + 1}^{2}  }  \\   = \sqrt{ {( - 2)}^{2}  +  {(2)}^{2} }  \\    = \sqrt{4 + 4}  \\  =  \sqrt{8}  \\   = 2 \sqrt{2} [/tex]
So DE = 2 × AB 
and since the new  triangle formed is similar to the original one, their side ratio will be same for all sides. 
scale factor = AB/DE
= 2
It's been reflected across the Y-axis
moved thru the translation of 3 units towards the right of positive x- axis 
for this let's compare the location of points B and D
For both the y coordinate is same while the x coordinate of B is 0 and that of D is 3
so the triangle has been shifted by 3 units across the positive x axis