Question

4. DE is the perpendicular bisector of JL. Which statement must be true?

Answer 1

Since DE is the perpendicular bisector of JL.

The perpendicular bisector is a line that divides a line segment into two equal parts. It also makes a right angle with the line segment. Each point on the perpendicular bisector is the same distance from each of the endpoints of the original line segment.

Since, a perpendicular bisector is a line that divides a line segment into two equal parts.

So, JK=KL. (which is not given in the option)

Since ED is a perpendicular bisector. So, each point on ED is the same distance from the endpoints of line segment JL.

So, EJ=EL.

Therefore, Option 1 is the correct answer.

Answer 2

Did you ever get the answer? I think it is A