The following table shows points on a number line and their co-ordinates. Decide whether the pair of segments given below the table are congruent or not.

i. seg DE and seg AB

ii. seg BC and seg AD

iii. seg BE and seg AD

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.