From the line bisected with the given midpoints, we have been able to prove that; BC = CE by substitution property of Equality
How to prove bisection of a Line?
We are given that;
C is the midpoint of BD
D is the midpoint of CE
1) Thus, BC = CD because of definition of Midpoint.
2) Similarly, by definition of midpoint we know that CD = DE.
3) We can say that BC = DE because of substitution property of equality.
4) We can say that BC + CD = BD because of segment addition postulate.
5) Similarly, by segment addition postulate, we can say that CD + DE = CE.
6) Finally we can say that BC = CE by substitution property of Equality
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