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
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
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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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
equality of two sets, and therefore needs two separate arguments.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe35ed5cf-549c-4bd1-b1a1-a17dcd509de9%2F7b389a14-0050-41da-9830-e120d915c51f%2F58l7f9e_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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
equality of two sets, and therefore needs two separate arguments.)
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