Mitchell S.

asked • 12/16/20

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:

:


Segment JK intersects line LM at point N.


Line LM is a perpendicular bisector of segment JK; Given. Two arrows are drawn from this statement to the following two statements. Angle LNK equals 90 degrees and angle LNJ equals 90 degrees; Definition of a Perpendicular Bisector. Segment JN is congruent to segment NK; Definition of a Perpendicular Bisector. Angle LNK is congruent to angle LNJ; Definition of Congruence. Segment LN is congruent to segment LN; Reflexive Property of Equality. Draw segment JL and segment KL; by Construction. Four arrows from the previous four statements are drawn to the statement triangle JNL is congruent to triangle KNL; Side Angle Side, SAS, Postulate. An arrow from this statement is drawn to the statement segment JL is congruent to segment KL; Corresponding Parts of Congruent Triangles are Congruent CPCTC. An arrow from this statement is drawn to JL equals KL; Definition of Congruence. An arrow from this statement is drawn to Point L is equidistant from points J and K; Definition of Equidistant.


What is the error in this flowchart?

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