Given: bisects and bisects %0D%0AProve: %0D%0A%0D%0AA two column proof is shown. In the statements column there are 6 statements. 1 says modifying above with right arrow upper M upper O bisects angle upper P upper M upper N. 2 says angle upper P upper M upper O congruent to angle upper N upper M upper O. 3 says modifying above with bar upper M upper O congruent to modifying above with bar upper M upper O. 4 says modifying above with right arrow upper O upper M bisects angle upper P upper O upper N. 5 says angle upper P upper O upper M congruent to angle upper N upper O upper M. 6 says triangle upper P upper M upper O congruent to triangle upper N upper M upper O. In the reasons columns there are the numbers 1 through 6 but each reason is blank with a question mark. The diagram is also shown. Line upper M upper O is horizontal across the middle of the diagram. Point upper N is at the top of the diagram and two lines extend from it down to line upper M upper O forming a triangle. Another point upper P is at the bottom of the diagram and two lines extend from it up to line upper M upper O forming another triangle. The two triangles appear congruent and share two vertices on line upper M upper O.%0D%0A(6 points)
Statements | Reasons
1. Modifying above with $\rightarrow \angle MON$ bisects $\angle PMN$ | ?
2. $\angle PMO \cong \angle NMO$ | ?
3. $\overline{MO} \cong \overline{MO}$ | ?
4. Modifying above with $\rightarrow OM$ bisects $\angle PON$ | ?
5. $\angle POM \cong \angle NOM$ | ?
6. $\triangle PMO \cong \triangle NMO$ | ?