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

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

Answer by umnikmo(75)   (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

RELATED QUESTIONS

if i have a proof with with the given being AL=SK and i am trying to prove AS=LK and the... (answered by richard1234)
If it is given that AL=SK and you have to prove AS=LK, what would the steps and... (answered by tommyt3rd)
Given: AL=SK Prove:AS=LK Statements: 1. AL=SK 2. LS=LS 3. AL+LS=SK+LS 4. AL+LS=AS (answered by solver91311)
In a triangle congruence proof, it shows to two triangles abm and dem vertically up and... (answered by mollukutti)
you have a parallelogram made up of two triangles (triangle RST and triangle RUT).... (answered by richwmiller)
How do you prove that angle 1 is equal or congruent to angle C if you are given ABCD is a (answered by richwmiller)
how do you find the midpoint of a line... (answered by rfer)
How do i solve this: Given- EF is a line segment Prove-EF is congruent or equal to... (answered by richard1234)
How do you prove overlapping triangles congruent? Given: Segment AC is congruent to (answered by ikleyn)