SOLUTION: What are the correct reasons for the following geometric proof? (I already have the statements, and a few reasons) Given: AB = 1/4BC and BC = CD Prove: CD = 4AB Stat

Algebra ->  Geometry-proofs -> SOLUTION: What are the correct reasons for the following geometric proof? (I already have the statements, and a few reasons) Given: AB = 1/4BC and BC = CD Prove: CD = 4AB Stat      Log On


   

Question 165076: What are the correct reasons for the following geometric proof?
(I already have the statements, and a few reasons)

Given: AB = 1/4BC and BC = CD
Prove: CD = 4AB

Statements:
1- AB = 1/4BC
2- 4=4
3- 4AB = BC
4- BC = CD
5- 4AB =CD
6- CD = 4AB

Reasons I have come up with:
1- Given
2- Given
3- Reflexive property of equality

Answer by padmameesala(42) About Me  (Show Source):
You can put this solution on YOUR website!
1. AB = 1/4BC Reason Given
2. 4AB = BC
3. BC = CD Reason Given
4. 4AB = BC and BC = CD
5. 4AB = CD Reason: Transitive property of equality
therefore CD = 4AB