compass, such as angle bisectors, perpendicular bisectors, and the line parallel to a given line through a point off the line. ... A Plan for Problem Solving . 2.1.

FG is the perpendicular bisector of HI Prove: H# I Statements Reasons 1) FG is the perpendicular bisector of HI 1) Given 2) HF ≅ IF S 2) Definition of a bisector 3) <HFG and <IFG are right angles 3) Definition of perpendicular lines 4) <HFG ≅ <IFG A 4) All right angles are congruent. 5) S FG # FG 5) Reflexive Property

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Product of the slope of perpendicular line is equal to − 1. Perpendicular bisector of a line segment is a line that is perpendicular to the line segment and passes through the mid-point of the line segment. Slope of the line passing through the points P 1 (x 1, y 1) to P 2 (x 2, y 2) is m = y 2 − y 1 x 2 − x 1

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The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is: Equidistant from the segment's endpoints. Parallel to the segment. Equidistant...

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An angle bisector passes through one of the vertices, bisecting the angle at that vertex. A perpendicular bisector is perpendicular to a side of a triangle at it's midpoint. Examples of these are illustrated in the sketch below: