**In class**we learned to create flow proofs. I have attached an example and students worked on practice. In order to be proficient, a student should be able to create a proof on their own for problems in which the diagram can be understand fairly quickly (#7 on this assignment). Highly proficient students should be able to create proofs similar to the one I attached and in cases when a clear proof would require them to

*see segments*or shapes that are not given as well as identifying important relationships between triangles which may be overlapping etc. (some examples of this from 4.6 problem set).

**Assignment:**4.7: (4-6 talk through, don't need to write anything), complete 7-13, 15

**Question**:

* What is the significance of the arrows in a flow proof?

* What are some different ways you could organize this flow proof into a 2-column proof?

**Answers**

*** **Arrows are used to indicate when one statement follows from another. The arrow shows the order of the logic.

* Statements could, arguably be put into many different orderings so long as *no statement comes before a statement which pointed to it in the flow proof*. So there are many ways to arrange these statements into a valid proof, it would be preferable to set up the statements so that one line of reasoning is presented without interruption.