SOLUTION: given AL=SK how do you prove AS=LK on a line segment of ALSK

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Question 521467: given AL=SK how do you prove AS=LK
on a line segment of ALSK

Answer by umnikmo(75) About Me  (Show Source):
You can put this solution on YOUR website!
on a line segment ALSK, lets call distance A to L - D, same distance in L to K - D. lets call distance L-S as X.
now, distance from A to S is AL+LS = D+X; distance from L to K is LS+SK = X+D;
so AS = D+X = X+D = LK.
Proven