Angle Bisectors and Incircle

Learn how to construct angle bisectors using a compass, and use them to draw a triangle’s incircle. Let’s get started! 🚀

Angle Bisectors and Incircle - introduction visual

Video Lesson

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Flashcards

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Angle bisector dividing an angle into two equal parts, with one half labelled alpha over two and the other half also labelled alpha over two.Constructing an angle bisector using a protractor and compass, showing steps for accurate measurement and drawing.Key property of angle bisectors shown with diagram: every point on the angle bisector is equidistant from the angle's sides.Explanation of a triangle's in-centre and in-circle, showing the largest circle that can fit inside the triangle, with in-radius and angle bisectors.

🛎️ What Is an Angle Bisector?

  • An angle bisector splits an angle into two equal parts.
  • Each new angle is exactly half of the original angle.

🛎️ How to Draw an Angle Bisector?

  • You can draw an angle bisector using a protractor by halving the angle.
  • You can also use a compass to draw the bisector without measuring.

🛎️ The Key Property of an Angle Bisector

  • Any point on an angle bisector is equidistant from both sides of the angle.
  • This means the perpendicular distance to each side is the same.

🛎️ Incentre and Incircle

  • The incentre is where the three angle bisectors of a triangle meet.
  • The incircle is the largest circle that fits inside the triangle and touches all three sides.

Practice Questions

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Interactive Activity

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