Question

How to write a two column proof for number 12?

Answer 1

1) $\overline{EJ} \parallel \overline{KF}, \overline{JG} \parallel \overline{KH}, \overline{EF} \cong \overline{GH}$ (given)

2) $\overline{FG} \cong \overline{FG}$ (reflexive property)

3) $\overline{EG} \cong \overline{FH}$ (segment addition postulate)

4) $\angle JEF \cong \angle KFG, \angle JGE \cong \angle KHF$ (if two parallel lines are cut by a transversal, the corresponding angles are congruent)

5) $\triangle EJG \cong \triangle F\text{ }KH$ (SAS)