A segment, ray, line or plane that is perpendicular to a

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Presentation transcript:

A segment, ray, line or plane that is perpendicular to a segment at its midpoint. (CD, ED & FD) Points that are the same distance away from another point. (A, B & C are equidistant to D) When 3, or more, lines, rays, etc.. intersect the same point they are concurrent to each other. (AD, BD & CD) The point of intersection between 3, or more, lines, rays, ect.. (Point D) The point of concurrency between the 3 perpendicular bisectors of a triangle. (Also Point D)

equidistant CB Perpendicular Bisector Perpendicular Bisector

AB 4x 7x - 6 2 4x 4(2) 8

equidistant Theorem JN LN JK LK JM LM JK could be shown equal to LK using the LL triangle congruence theorem too. JN LN JK LK the Perpendicular Bisector JM LM equidistant Converse of the Perpendicular Bisector Theorem

GK = HK, GJ = HJ, GF = HF, JK = JK 2x = x + 1 x = 1 GH = GK + HK GH = 2x + x + 1 GH = 2(1) +(1) + 1 GH = 4

PB PC

Perpendicular Bisectors Theorem Perpendicular Bisectors Perpendicular Bisectors

B D C A