Triangle ABC is translated according to the rule (x, y) - (x + 2, y - 8). If the coordinates of the pre-image of point B are
(4-5), what are the coordinates of B'?
(2,3)
(1, -9)
(-3,-4)
(6.-13)

what i would say the best answer is a. 40.5

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough