SOLUTION: How am I supposed to answer this question im supposed to show my work and give the proof. my teacher tried showing me but I still don't get it. Question: If AC=BD, then AB=CD

Algebra ->  Geometry-proofs -> SOLUTION: How am I supposed to answer this question im supposed to show my work and give the proof. my teacher tried showing me but I still don't get it. Question: If AC=BD, then AB=CD      Log On


   



Question 934601: How am I supposed to answer this question im supposed to show my work and give the proof. my teacher tried showing me but I still don't get it. Question: If AC=BD, then AB=CD
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
AC=BD, then AB=CD



From the above figure we get that
AC+++++=+AB+%2B+BC
BD+++++=+BC+%2B+CD
It is given that AC+=+BD- if left sides equal, then right sides are equal too; so, we get:
AB+%2B+BC++++++=+BC+%2B+CD … (1)
According to Euclid’s axiom,when equals are subtracted from equals, the remainders are also equal.
Subtracting BC from both side in equation (1), we get
AB+%2B+BC-BC++++=+BC+%2B+CD+-BC
AB+++++=+CD .........=>Hence proved.