Given AL=SK prove AS=LK

Question

i need reasons for each step there are 6 steps

Answer 1

I am assuming that you these are all on a line such that

 

 

A-------------L---------S------------K

 

If so, this is how I would do it

 

AL = SK  Given

LS = LS   Reflexive

AL + LS = SK + LS  Addition property of equality

AL + LS = AS Collinear (seqment addition)

SK + LS = LK  Collinear (segment addition)

AS = LK  substitution