Topic Content:
- To bisectBisect means dividing into two equal parts. It means to divide a geometric figure such as a line, an angle or any other shape into two congruent parts (or two parts... More a given line: To divide a line into two equal parts
- To bisect an angle: To divide an angle into two equal parts
- To copy an angle: To draw an angle similar to it
- Constructing Perpendiculars
- To construct an angle of 45°
- To construct an angle of 60°
- To construct an angle of 30°
- To construct an angle of 120°
- To construct an angle of 105o
- To construct an angle of 75°
- To construct angle 135°
- To construct angle 150°
1. To bisect a given line: To divide a line into two equal parts
i. Draw a line AB (e.g. AB = 10 cm)
ii. Open your compass to a radius greater than half AB. Place the point of your compass on A and draw arcs above and below line AB.
iii. With centre B, using the same radius, draw arcs above and below line AB to cut the first two arcs at C and D.
iii. Draw a line to join C and D. Label the point where this line cuts AB as O. Since the line CD bisects AB at a right angle, CD is called the perpendicular bisector of AB, and point O is the mid-point of PQ.
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