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How to Construct an Angle Bisector: Step-by-Step Guide

This comprehensive guide explains how to divide an angle in half using a compass and ruler. Follow simple steps to construct the angle bisector accurately. We will illustrate the process, including how to arc over the angle's lines, maintain compass width, and cross arcs to find the bisector point. This technique is essential for geometric constructions and is especially useful in triangle properties, where the angle bisectors of the corners meet at a single point. Master this skill for effective geometric problem-solving!

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How to Construct an Angle Bisector: Step-by-Step Guide

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Presentation Transcript

  1. Angle Bisector Construction Aim: Divide an angle in half Start

  2. Angle Bisector A Aim: divide an angle in half Compass point Arc over both lines Step1 Home

  3. Angle Bisector Aim: divide an angle in half Compass point Arc over both lines Step1 Home

  4. Angle Bisector Aim: divide an angle in half Compass point Arc over both lines Step1 Home

  5. Angle Bisector B Aim: divide an angle in half Keep the compass the same Arc into space Compass point Step1 Step2 Home

  6. Angle Bisector Aim: divide an angle in half Keep the compass the same Arc into space Compass point Step1 Step2 Home Home

  7. Angle Bisector Aim: divide an angle in half Keep the compass the same Arc into space Compass point Step1 Step2 Home

  8. Angle Bisector C Aim: divide an angle in half Keep the compass the same Arc to cross Compass point Step1 Step2 Step3 Home

  9. Angle Bisector Aim: divide an angle in half Keep the compass the same Arc to cross Compass point Step1 Step2 Step3 Home

  10. Angle Bisector Aim: divide an angle in half With this point Use a ruler to join this point… Step1 Step2 Step3 Step4 Home

  11. 1 2 1 2 Angle Bisector Aim: divide an angle in half Angle bisector The angle is now cut in half Step1 Step2 Step3 Step4 The End In circle Home

  12. In circle Do the angle bisectors of the three corners of a triangle meet at a point? Home

  13. In circle Do the angle bisectors of the three corners of a triangle meet at a point? Like this? Home

  14. In circle Do the angle bisectors of the three corners of a triangle meet at a point? OR this? Home

  15. In circle Do the angle bisectors of the three corners of a triangle meet at a point? Home

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