If ΔHGE ≅ ΔFGE , which of the following corresponding parts are NOT congruent for the given figure?

Which theorem(s) could be used to prove ΔACD ≅ ΔBCD?

Two triangles are shown below on the coordinate plane.

Using coordinate methods and the information in the graph, identify each postulate that could best be used to prove Δ CAB≅ Δ DEF .