Two horses are ready to return to their barn after a long workout session at the track. the horses are at coordinates h(1,10) and z(10,1). their barns are located in the same building, which is at coordinates b(-3,-9). each unit/grid on the coordinate plane represents 100 meters. which horse is closer to the barn? justify your answer.

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.