SOLUTION: i dont understand how to do a 2 column proof or what to write inside the 2 column proof. can you help me?

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Question 696657: i dont understand how to do a 2 column proof or what to write inside the 2 column proof. can you help me?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
A proof is just an orderly way to show that something is
true, by building on other things you+know are true.
The only way that order+matters is that each thing you say must be based on something you've already+said. Often it will be based on the previous statement,
but sometimes you will have to use earlier statements as well.
Your "givens" are the foundation someone laid for you, and the theorems, properties, and postulates you have to use to put together to a final goal, a proof
for example:
.Statements .......................... Reasons
1. AB = CD ...................... given
2. BC = BC ...................... reflexive property
3. AB + BC = BC + CD ........ addition property of equality
4. A-B-C-D ........................ given
5. AC = AB + BC ................ definition of between
6. AC = BC + CD ................ transitive property of equality
7. BC + CD = BD ............. definition of between
8. AC = BD ......... transitive property of equality

so, here is the foundation at the bottom AC=BD,and the goal at the top AB=CD
statement 2 gives you a new fact you can build on that doesn't depend on
the givens, but has been applied to a specific value, BC
statement 3 uses statements 1 and 2, by adding them together AB%2BBC=BC%2BCD
statement 4 is a given
statement 5 uses its definition
................3
...................|
AB%2BBC=BC%2BCD
..... / ....... \
....... 2 ....... 1
..... / .......... \
+BC=BC AB=CD +A-B-C-D
and you get
statement 7 is again based on the definition of between of statement 4
BC+%2B+CD+=+BD
finally we can join statements 6 and 7 to get to the goal which is AC+=+BD