Definition of Bisect
Bisect means to divide into two equal sections or two equal halves.
More About Bisect
If we bisect a 90° angle, we will have two 45° angles.
- The word 'bisect' combines the common Latin 'bi' for 'two', and 'secare', meaning 'to cut', which also is the root for secant
- Straight edge and compass are used to bisect a line segment or an angle
- Anything can be bisected: a line, an angle, a circle, a square
Video Examples: Bisect
Example of Bisect
Following steps are involved when we bisect an angle by using ruler and compass:
Draw an arc with B as the centre to cut the arms, BA and BC, of the angle at P and Q respectively
Using the same radius, draw an arc centered at P
Again, using the same radius, draw an arc centered at Q to cut the arc previously drawn at R
Join, B, the vertex of the angle, to the point R
BR bisects the angle ABC, and is called the bisector of the angle ABC.
Solved Example on Bisect
Ques: Find the value of DC, if bisects ?BAC.
A. 2 cm
B. 8 cm
C. 4 cm
D. 6 cm
Correct Answer: C