Concept 5 of 10Foundation
Watch on YouTubeVideoAngle bisector
An angle bisector is a ray that splits an angle into two equal halves.
Construction of bisector of ∠BAC:
- From vertex A, draw an arc crossing both arms at P and Q.
- From P and Q (same radius), draw arcs meeting inside at R.
- Ray AR bisects ∠BAC.
Every point on the bisector is equidistant from the two arms.
Example
The 3 angle bisectors of a triangle meet at the incentre — centre of the largest circle that fits inside.
💡 Tip:You can make 60°, 30°, 15° angles just with a compass by bisecting repeatedly.
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5 questions to check what you just read.
0 / 5
- Q1.An angle bisector splits an angle into:
- Q2.Bisector of a 60° angle creates two angles of:
- Q3.Bisector of a 180° straight angle creates:
- Q4.Three angle bisectors of a triangle meet at the:
- Q5.Any point on an angle bisector is equidistant from: