The vertices of a rectangle are r(–5, –5), s(–1, –5), t(–1, 1), and u(–5, 1). a translation maps r to the point (–4, 2). find the translation rule and the image of u.

The translation rule is < 1, 7 >                                                                  The image of U(-5,1) is (-4,8)

Step-by-step explaination:

Given the vertices of rectangle which are  R(–5, –5), S(–1, –5), T(–1, 1), and  U(–5, 1).It is also given that the translation maps R(-5,-5) to the point (–4, 2). we have to find the translation rule and the image of U.

To find the translation rule

Step 1: Horizontal shift.  -4-(-5)=1 unit i.e                                                                              R is shifted to 1 unit.

Step 2: Vertical shift.  2-(-5)=7 units i.e                                                                     R is shifted to 7 units.

Hence,the translation rule is < 1, 7 >  

Now, image of U(-5,1)

U(-5,1) → U'(-5+1, 1+7) = U'(-4,8)

Hence, The image of U(-5,1) is (-4,8)