BISECT
Definition Of Bisect
Bisect means to divide into two equal sections or two equal halves.
More About Bisect
If we bisect a 900 angle, we will have two 450 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.
Choices:
A. 2 cm
B. 8 cm
C. 4 cm
D. 6 cm
Correct Answer: C
Solution:
Quick Summary
- Bisecting divides an object into two equal parts.
- Angles and line segments can be bisected.
- A straight edge and compass are used for accurate bisection.
🍎 Teacher Insights
Emphasize the practical applications of bisection in construction and design. Demonstrate the steps clearly and allow students ample practice.🎓 Prerequisites
- Basic understanding of lines and angles
- Knowledge of geometric tools (ruler, compass)
Check Your Knowledge
Q1: What does it mean to bisect an angle?
Q2: Which tools are typically used to bisect a line segment?
Frequently Asked Questions
Q: What tools are needed to bisect an angle?
A: A straight edge (ruler) and a compass.
Q: Is the bisector unique?
A: Yes, for a given angle or line segment, there is only one bisector.