Given: AL = SK ; Prove: AS = LK

Question

Could you prove and explain how you did it/ what properties you used.

 

 

A____L_________S____K    <---- Line Segment

Answer 1

A____L_________S____K <---- Line Segment

 

1.  AL = SK (given; all points lie on line segment AK as illustrated)

2.  AS =AL + LS  (line segment addition)

3.  LK = LS + SK   (")

4.  LK = LS + AL (substitution from # 1 into # 3.

5.  LK = AS (# 2 & # 4 (transitive property;both equal AL + LS)