Question

the following is an incorrect flowchart proving that point l, lying on \\( \overline{lm} \\) which is a perpendicular bisector of \\( \overline{jk} \\), is equidistant from points j and k:what is the error in this flowchart?jl and kl are equal in length, according to the definition of a midpoint.point l is equidistant from endpoints j and k, not j and n.the arrow between \\( \triangle jnl \cong \triangle knl \\) and \\( \overline{jl} \cong \overline{kl} \\) points in the wrong direction.an arrow is missing between the given statement and \\( \angle lnk \cong \angle lnj \\)

Explanation:

• The goal is to prove \(L\) is equidistant from \(J\) and \(K\).
• The flowchart has an error in the logical flow.
• \(\angle LNK=\angle LNJ = 90^{\circ}\) (given as \(LM\) is a perpendicular bisector of \(JK\)). But there is no direct arrow from the given \(\angle LNK = 90^{\circ},\angle LNJ=90^{\circ}\) to \(\angle LNK\cong\angle LNJ\) (by definition of congruence of right - angles).

Answer:

An arrow is missing between the given statement and \(\angle LNK\cong\angle LNJ\)