Answer :

Now, we know that

The distance between the end points of a segment is called the length of the segment and is denoted by l (AB) = seg AB = AB.


i. seg DE = l (DE) = 9 – (-7) = 9 + 7 = 16


and seg AB = l (AB) = 5 – (-3) = 5 + 3 = 8


Now, we know that


Two segments are congruent if the length of two segments is equal.


But, here, we have seg DE = 16 ≠ 8 = seg AB


So, seg DE and seg AB are not congruent.


ii. seg BC = l (BC) = 5 – 2 = 3


and seg AD = l (AD) = -3 – (-7) = -3 + 7 = 4


We know that


Two segments are congruent if the length of two segments is equal.


But, here, we have seg BC = 3 ≠ 4 = seg AD


So, seg BC and seg AD are not congruent.


iii. seg BE = l (BE) = 9 – 5 = 4


and seg AD = l (AD) = -3 – (-7) = -3 + 7 = 4


We know that


Two segments are congruent if the length of two segments is equal.


And, here, we have seg BE = 4 = seg AD


So, seg BE and seg AD are congruent.


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