Write the following paragraph proof as a two-column proof. Given: AB = CD and BC = DE
Prove: AC = CE

We're given that AB = CD. By the addition property of equality, we add BC to both sides of the equation
to get AB + BC = CD + BC. Since we're also given that BC = DE, we use the substitution property of
equality to replace BC with DE on the right side of the equation. So, AB + BC = CD+DE. Next, by
segment addition, we get that NB + BC is equal to AC and that CD + DE is equal to CE. Finally, we use
the substitution property of equality on the equation AB + BC = CD + DE to replace AB + BC with AC
and CD + DE with CE to get that AC = CE.