Final answer:
Line s, being the perpendicular bisector of JK, must be perpendicular to JK at point L, making JL equal to KL and meaning that point L is the midpoint of JK.
Step-by-step explanation:
If line s is the perpendicular bisector of segment JK and intersects it at point L, we can determine several truths about the geometric relationship between these elements:
- A. Line s is perpendicular to JK: Yes, this is true because by definition, a perpendicular bisector not only cuts a line segment into two equal parts but also does so at a 90° angle.
- B. JL = KL: This statement must also be true. Since line s is a bisector, it divides JK into two equal parts, hence JL (the length from J to L) is equal to KL (the length from K to L).
- D. Point L is the midpoint of JK: True again, as the point where the perpendicular bisector intersects the line segment is known as the midpoint, implying that point L is equidistant from both J and K.
Statements C and E are incorrect. Line s cannot be parallel to JK as it intersects it, and a 180° angle refers to a straight line, not the angle formed by a perpendicular intersection.