Answer :

The measure of the segment DF, DE, FG, FH, GH and EH are 3, 8/3, 1. 2 1/2, 1 1/2 and 29/6 respectively

Line segments

A line is the shortest distance between two points. From the given number line;

DF = -1-(-4)

DF = -1 + 4

DF = 3

For the segment DE

DE = -1 1/3 -(-4)

DE = -4/3 + 4

DE = 8/3

For the segment FG

FG =  2 - 1

FG = 1

For the segment FH

FH = 3 1/2 - 2

FH = 2 1/2

For the segment GH

GH = 3 1/2 - 2

GH = 1 1/2


For the segment EH

EH =3 1/2 - (-1 1/3)

EH = 7/2 + 4/3

EH = 21+8/6

EH =29/6

Hence the measure of the segment DF, DE, FG, FH, GH and EH are 3, 8/3, 1. 2 1/2, 1 1/2 and 29/6 respectively

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