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Lilit [14]
3 years ago
8

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. Segment JN is congruent to segment NK; Definition of a Perpendicular Bisector. Angle LNK equals 90 degrees and angle LNJ equals 90 degrees; Definition of a Perpendicular Bisector. An arrow is drawn from this last statement to 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 N; Definition of Equidistant.

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 ΔJNL ≅ ΔKNL and segment J L is congruent to segment K L points in the wrong direction.
An arrow is missing between the given statement and ∠LNK ≅ ∠LNJ.
Mathematics
1 answer:
harina [27]3 years ago
6 0

Answer:

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

Step-by-step explanation:

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Given :

a-b = c-d    ...1)

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