Exercise 3. Prove that the locus of all points that are equidistant from two distinct pointsA and B is the perpendicular bisector of AB (that is, the line that is perpendicular to ABand bisects it). (Note: this is actually a biconditional statement since it is establishing theequality of two sets, and therefore needs two separate arguments.)

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Answered: Exercise 3. Prove that the locus of all…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.4: Relationships: Perpendicular Lines

Problem 27E

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Exercise 3. Prove that the locus of all points that are equidistant from two distinct points A and B is the perpendicular bisector of AB (that is, the line that is perpendicular to AB and bisects it). (Note: this is actually a biconditional statement since it is establishing the