You can do this by using the ruler postulate:Ĭhoose a pairing such that $\ A\ $ has coordinate $0$ and $\ O\ $ has coordinate $1$, and let $\ B\ $ be the point with coordinate $2$.
Now, to use the protractor postulate at point $\ O\ $, you need to get another point $\ B\ $ on the line through $\ A\ $ and $\ O\ $ such that $\ O\ $ lies between $\ A\ $ and $\ B\ $. Drawing the new line through $\ A\ $ and $\ O\ $ is justified by: Let $\ A,C\ $ be two points on the given line, and $\ O\ $ the given point that lies outside it, and $\ x=m\angle CAO\ $. Here are the justifications for each step in the first part your proof outline of theorem $3$- $8$.įirst, your choosing a point on the original line is justified by: The only thing missing from your proof outlines are citations to the postulates or previously proved theorems that justify each of their steps. Your approaches to proving theorems $3$– $8$ and $3$– $9$ are fine, so it's not clear to me why you say you're "having trouble justifying or verifying" them. The book you're using is evidently Geometry by Ray C.
0 kommentar(er)
