1. **State the problem:** We have two parallel lines EG and HJ cut by a transversal D-F-I-K. We need to determine which two terms apply to the angle pair \(\angle GFI\) and \(\angle HIF\). 2. **Identify the angles:** \(\angle GFI\) is at point F on the top line EG, below the line on the right side of the transversal. 3. \(\angle HIF\) is at point I on the bottom line HJ, above the line on the left side of the transversal. 4. **Recall angle pair relationships when two parallel lines are cut by a transversal:** - Corresponding angles are in the same relative position at each intersection. - Alternate interior angles lie between the two lines on opposite sides of the transversal. - Supplementary angles add up to 180 degrees. - Congruent angles have equal measure. 5. **Analyze the position of \(\angle GFI\) and \(\angle HIF\):** - They are on opposite sides of the transversal. - Both lie between the two parallel lines. 6. **Conclusion:** - Since they are between the lines and on opposite sides of the transversal, \(\angle GFI\) and \(\angle HIF\) are **Alternate Interior Angles**. - Alternate interior angles formed by parallel lines and a transversal are congruent, so they are also **Congruent**. **Final answer:** The two terms that apply are **Congruent** and **Alternate Interior Angles**.