Questions: FEG-31. The following diagrams are missing some key markings. a. H] is an angle bisector. Please complete the diagram to reflect that. What conclusion can you make? b. HJ is a perpendicular bisector. Please complete the diagram to reflect that.

Solution Steps

Since $\overline{HJ}$ is an angle bisector of $\angle FHG$, it divides $\angle FHG$ into two congruent angles. Mark $\angle FHJ$ and $\angle GHJ$ with the same angle arc.

The conclusion is that $\angle FHJ \cong \angle GHJ$.

Since $\overline{HJ}$ is a perpendicular bisector of $\overline{FG}$, it divides $\overline{FG}$ into two congruent segments and forms a right angle with $\overline{FG}$. Mark $\overline{FJ}$ and $\overline{JG}$ with the same hash mark to denote congruence. Mark the angle formed by the intersection of $\overline{HJ}$ and $\overline{FG}$ with a right angle symbol.

Final Answer: