SOLUTION: Please help. I have struggled with this problem. I have a line segment with points A, B, C, and D. Given: line AC is congruent to line BD Prove: line AB is congruent to line CD

Algebra ->  Geometry-proofs -> SOLUTION: Please help. I have struggled with this problem. I have a line segment with points A, B, C, and D. Given: line AC is congruent to line BD Prove: line AB is congruent to line CD      Log On


   

Question 192828: Please help. I have struggled with this problem. I have a line segment with points A, B, C, and D.
Given: line AC is congruent to line BD
Prove: line AB is congruent to line CD
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
it goes something like this
:
given AC is congruent to BD
:
AC=AB+BC
BC=CD+BC
:
by subtraction property subtracting out BC from these you have
:
AB=CD