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

EJ = EL
KD = KE
LD = LE
DJ = EJ

4. DE is the perpendicular bisector of JL. Which statement must be true? EJ = EL KD-example-1
User Ealhad
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2 Answers

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did you ever get the answer? I think it is A
User Vincent Xue
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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.

User Ghickman
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