Answer:
2. congruent
3. congruent
Step-by-step explanation:
Segments will be congruent if their lengths are the same. Their lengths will be the same if the sum of squares of the x- and y-differences of their endpoint coordinates are the same.
2. B-A = (-4-(-4), 8-1) = (0, 7)
D-C = (5-(-2), -5-(-5)) = (7, 0)
The total of 0² and 7² is the same as the total of 7² and 0², so these segments are congruent. (They are both of length 7.)
__
3. B-A = (2-4, 6-1) = (-2, 5)
D-C = (-4-(-2), -3-2) = (-2, -5)
The sum of (-2)² and 5² is the same as the sum of (-2)² and (-5)², so these segments are congruent. (They both are of length √29.)
