geometry (please explain)

Question

The following is an incorrect flowchart proving that point L, lying on  which is a perpendicular bisector of , is equidistant from points J and K:

What is the error in this flowchart?

 A. JL and KL are equal in length, according to the definition of a midpoint. 

B. Point L is equidistant from endpoints J and K, not J and N. 

C. The arrow between ΔJNL ≅ ΔKNL and  points in the wrong direction. 

D. An arrow is missing between the given statement and ∠LNK ≅ ∠LNJ.

Answer 1

The proof uses congruent triangles and the associated fact that all corresponding parts of two congruent triangles are the same. That means side JL ≅ side KL (which is shown correctly). But if JL ≅ KL, that means the distance from J to L is the same as the distance from K to L (it has nothing to do with point N)