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
: 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
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