3. Prove Theorem 3.5 by completing each direction of the biconditional as given sepa- rately in the following two parts. (a) Prove that every point on the perpendicular bisector of a line segment AB is equidistant from the segment's endpoints. (b) Prove that every point that is equidistant from the endpoints of a line segment AB lies on its perpendicular bisector. 4. Prove that the median to the base of an isosceles triangle is perpendicular to the base and bisects the opposite angle.
3. Prove Theorem 3.5 by completing each direction of the biconditional as given sepa- rately in the following two parts. (a) Prove that every point on the perpendicular bisector of a line segment AB is equidistant from the segment's endpoints. (b) Prove that every point that is equidistant from the endpoints of a line segment AB lies on its perpendicular bisector. 4. Prove that the median to the base of an isosceles triangle is perpendicular to the base and bisects the opposite angle.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 6AEXP
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