Question

triangle D'E'F' is the image of a triangle DEF under a rotation 90° clockwise about the origin followed by a translation.write the rules for the rotation and translation.

Answer 1

we have that

The rule of the rotation is

(x,y) -----> (y, -x)

point E(1,7)

apply the rule

E(1,7) ------> E''(7,-1)

the coordinates of point E'(6,3)

therefore

The translation is 1 unit at left and 4 units up

the rule of the translation is

(x,y) -----> (x-1,y+4)