If a translation of t 2,-7(x,y) is applied to triangle abc, what are the coordinates of b’?

ok , let me start from the meaning of word translation .

translation means moving an object by a certain distance in any direction.

the nature of the object i.e shape, size does not change. neither the figure is

reflected, nor rotated.

as δ abc is translated, it is not given it is translated in which direction

so,(2,-7) lies in fourth quadrant.

if translation of t units is applied to the coordinates of b (2,-7) i.e x in right direction,and y in up   then new coordinates, b'=(2+t, -7+t)

if translation of t units is applied to the coordinates of b(2,-7) i.e x in right direction,and y in down   then new coordinates, b'=(2+t, -7-t)

if translation of t units is applied to the coordinates of b(2,-7) i.e x in left direction,and y in up   then new coordinates, b'=(2-t, -7+t)

if translation of t units is applied to the coordinates of b(2,-7) i.e x in left direction,and y in down   then new coordinates, b'=(2-t, -7-t)

210.69 is the answer.

Sorry for not explaining my work, in a bit of a hurry. I had this question back when i was in school.

Hope this helps & good luck. :)