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

Question

anonymous · Answer

What is the error in this flowchart?
 JL and KL are equal in length, according to the definition of a midpoint. The arrow between ΔJNL ≅ ΔKNL and segment J L is congruent to segment K L points in the wrong direction. Segments JL and KL need to be constructed using a straightedge. Triangles JNL and KNL are congruent by the Angle-Angle Side (AAS) Postulate.

danjs · Answer

To show the diagonals are congruent JL and KL

use all the given info to show that those triangles are the same, congruent.  I think that is it

danjs · Answer

start with Givens

prove triangles LNJ and LNK are congruent

shows those diagonals are the same length

danjs · Answer

bisection of a line segment cuts it in equal parts,   JN = NK
angles KNL = JNL  from given perpendicular intersection for linesegments

the shared sides are the same , reflexive

the triangles are congruent,  side angle side

JL = KL,   from the congruency