Answer
The two segments aren't congruent.
Step-by-step explanation
The two segments given that we are asked to check if they are congruent are
(2, 3), (3, -3)
and
(-1, 4), (-4, -1)
The only way to know if the segments are congruent is from the values of the slopes of the two segments. If the two segments are congruent, the slopes will be equal.
The slope of a line or segment that has two coordinates given is calculated as
Slope = (Change in y)/(Change in x)
For (2, 3), (3, -3),
Change in y = -3 - 3 = -6
Change in x = 3 - 2 = 1
Slope = (-6/1) = -6
For (-1, 4), (-4, -1)
Change in y = -1 - 4 = -5
Change in x = -4 - (-1) = -4 + 1 = -3
Slope = (-5/-3) = (5/3) = 1.667
The two slopes are evidently not equal, hence, the two segments aren't congruent.
Hope this Helps!!!