The translation rule which describes the given translation is  .
.
Further explanation:
Translation is defined as the shifting of the curve in which each point on the curve is shifted in such a way that the shape and size of the curve remains unchanged but the position of each point is changed by a fixed distance. 
In the given figure there are two right angle triangle as  and
 and  .
.
The coordinates of the right angle triangle  are
 are  and
 and  and the coordinates of the right angle triangle
 and the coordinates of the right angle triangle  are
 are  and
 and  .
.  
Consider that the triangle  is obtained after the translation of each point on the triangle
 is obtained after the translation of each point on the triangle  .
.  
The coordinate of the point  in triangle
 in triangle  is
 is  .
.  
Step 1:  
Use the translation  for the point
 for the point  .
.  
 
As per the translation  the coordinate of the point
 the coordinate of the point  is
 is  , but in the given figure the coordinate of the point
, but in the given figure the coordinate of the point  is
 is  .
.  
So, the translation  is incorrect.
 is incorrect.  
Step 2:  
Use the translation  for the point
 for the point  .
.  
 
As per the translation  the coordinate of the point
 the coordinate of the point  is
 is  , but in the given figure the coordinate of the point
, but in the given figure the coordinate of the point  is
 is  .
.  
So, the translation  is incorrect.
 is incorrect.  
Step 3:  
Use the translation  for the point
 for the point  .
.  
 
As per the translation  the coordinate of the point
 the coordinate of the point  is
 is  which is correct as the coordinate for the point
 which is correct as the coordinate for the point  given in the figure is
 given in the figure is  .
.  
Step 4:  
Use the translation  for the point
 for the point  .
.  
 
  
As per the translation  the coordinate of the point
 the coordinate of the point  is
 is  which is correct as the coordinate for the point
 which is correct as the coordinate for the point  given in the figure is
 given in the figure is  .
.  
Step 5:  
Use the translation  for the point U’.
 for the point U’.  
 
As per the translation  the coordinate of the point
 the coordinate of the point  is
 is  which is correct as the coordinate for the point
 which is correct as the coordinate for the point  given in the figure is
 given in the figure is  .
.  
As per the above calculation it is concluded that the translation  is correct for the shifting of each point on the triangle
 is correct for the shifting of each point on the triangle  to each point on the triangle
 to each point on the triangle  .
.
The translation of each point on the triangle  is shown in the image attached below.
 is shown in the image attached below.
 
Therefore, the correct translation rule for the shifting of the triangle  to the triangle
 to the triangle  is
 is  
  
Learn more:  
- A problem to determine the range of a function brainly.com/question/3852778
- A problem to determine the vertex of a curve brainly.com/question/1286775
- A problem to convert degree into radians brainly.com/question/3161884  
Answer details:
Grade: Middle school
Subject: Mathematics  
Chapter: Coordinate geometry
Keywords: Translation, shifting, graph, geometry, coordinate geometry, coordinates, shifting of graph, triangle, right angle triangle, movement of curve, shifting of curve, translation of curve.