Figure 122 : Bisect an angle
Q01. Diagram
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Coordinate geometry 
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Q02. Bisect an angle
Construction
- Draw an angle BAC
- At point A draw a circle and cut line AB at P and AC at Q
- AT point P draw a circle with radius r
- At point Q draw a circle with same radius r
- Two circles meet at R and S
- Join A, R and S and extend to D
- AD is angle bisector
- PS = PQ
- AP = AQ
- AS is in common
- Hence triangle APS is concurrent to AQS
- Hence AD bisect angle BAC
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Q03. Properties
- 1. Point on bisector has same distance to line AB and AC
- At point D draw line perpendicular to AB at E
- At point D draw line perpendicular to BF at F
- Since ADE is concurrent to ADF
- Hence DE = DF
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Q04. Reference
References
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Q05. Questions
Questions
- 1. Point P keep same distance from the rays of angle. What is the locus
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