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Perpendicular and angle bisectors. Geometry H2 (Holt 5-1) K. Santos. Perpendicular Bisector Theorem (and converse). If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. X Given: is the perpendicular
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Perpendicular and angle bisectors Geometry H2 (Holt 5-1) K. Santos
Perpendicular Bisector Theorem (and converse) If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. X Given: is the perpendicular bisector of A B Y Then: XA = XB
Example—Perpendicular Bisector Find MN. N 2.6 M L
Example—Perpendicular Bisector B Find BC. 38 D A 12 38 C
Example—Perpendicular Bisector U Find TU 3x + 9 7x - 15 T W V
Angle Bisector Theorem (and converse) If a point is on the bisector of angle, then it is equidistant from the sides of the angle. Given: bisects <APB A P C Then: AC = BC B
Example—Angle Bisector Find BC B CD = 7.2 A C D
Example—Angle Bisector F Find m< EFH. m< EFG = 50 E G H
Example—Angle Bisector K 2a + 26 Find m <MKL. L 3a +20 J M