Figure 122 : Bisect a line
Q01. Diagram
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Coordinate geometry 
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Q02. Bisect a line
Construction
- Draw line AB = 6 cm
- Draw a circle at A with rdius = 4 cm
- Draw a circle at B with rdius = 4 cm
- Two circles meet at C and D
- Join CD and CD cut AB at E
- CD bisect AB
- CD is common chord of two circles
- Hence CD perpendicular to AB
- Hence triangle AEC is congruent to BEC
- BC = AC
- CE is in common
- Angle AEC = angle BEC = 90
- Hence AE = BE
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Q03. Prolerties of bisector of a line
- 1. Bisect line equally
- 2. Point on bisector has equal distance to the ends of line
- 3. Bissector perpendicular to line
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Q04. Reference
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Q05. Questions
Questions
- 1. Point P keeps same distance from ends of line, what is the locus ?
- 2. What is the angle between the line and its bisector ?
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