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 (2,-7). find the translation rule and the image of u.
a. t < -7,-2> (rstu); (-12,-1)
b. t < 7,-2> (rstu); (2,-1)
c. t < 7,2> (rstu); (2,3)
d. t < -7,2> (rstu); (-12,3)

b. T <7,-2> (RSTU); (2,-1)

Step-by-step explanation:

The given triangle has vertices R(-5, -5), S(-1,-5), T(-1,1) and U(-5,1).

Let the translation rule be T(a,b).

Then the mapping for the translation will be;

Then the point R(-5,-5) has the image;

This implies that;

and

Therefore the translation rule is T(7,-2)

Hence;

the correct choice is B.

a is the correct

step-by-step explanation: