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:
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Recall from geometry how to create the perpendicular bisector of a line segment: at each endpoint use a compass to draw an arc with the same radius. Pick the radius large enough so that the arcs intersect at two points, as in Figure 8. The line through those two points is the perpendicular bisector of the line segment.