4.1.6

Bisectors & Perpendiculars

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Bisectors and Perpendiculars

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Bisector of an angle

  • The bisector of an angle is a line that passes through the point of the angle and splits the angle exactly in half.
  • The bisector is the locus of points that are equidistant (the same distance) from the two lines that make the angle.
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Perpendicular bisector of a line

  • The perpendicular bisector of a line is a line that crosses another line at a right-angle and splits the line into two equal segments
  • This is the locus of points that are equidistant from two given points.
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Perpendicular from a point to a line

  • The perpendicular from a point to a line, is a line that goes through a point and meets the line at a right-angle.
  • The perpendicular distance from the point to the line is the shortest distance to that line.

Jump to other topics

1Number

1.1Using Numbers

1.2Fractions, Decimals & Percentages

1.3Powers & Roots

1.4Accuracy

2Algebra

2.1Introduction to Algebra

2.2Manipulating Algebra

2.3Proofs & Functions

2.4Straight Line Graphs

2.5Common Graphs

2.6Transformations & Tangents

2.7Properties of Graphs

2.8Solving Equations

2.9Inequalities

2.10Sequences

3Ratio

4Geometry

4.1Introduction to Geometry

4.2Triangles & Quadrilaterals

4.3Transformations

4.4Circle Basics

4.5Circle Theorems

4.6Measurements & Units

4.7Calculating Area

4.8Triangle Formulae

4.93D Shapes

4.10Vectors

5Probability

6Statistics

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