¯¯¯¯¯¯¯¯¯ is a perpendicular bisector of FG¯¯¯¯¯¯¯¯ , and they intersect at point L. Which of the following statements must be true? Select the two correct answers. (2 points)Responses

Answer 1

If ¯¯¯¯¯¯¯¯ is a perpendicular bisector of the line segment FG¯¯¯¯¯¯¯¯ and they intersect at point L, the following statements must be true:

1. FL = LG: Since L is the point where the perpendicular bisector intersects FG, it divides FG into two equal segments. Therefore, the lengths FL and LG are equal.

2. ∠FLG = 90°: The definition of a perpendicular bisector is that it intersects a line segment at a right angle. Thus, the angle formed at point L between lines FL and LG is 90 degrees.

These statements reflect the properties of perpendicular bisectors in geometry. If you need specific multiple-choice responses to select, please provide them!