Definition of Bisect
More about Bisect
Example of Bisect
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
Find the value of DC, if bisects ΔBAC.
A. 2 cm
B. 8 cm
C. 4 cm
D. 6 cm
Correct Answer: C
Step 1: ≅
Step 2: m∠BAD = m∠DAC
Step 3: ≅ [Same side.]
Step 4: ΔBAD ≅ ΔCAD [SAS Postulate.]
Step 5: ≅ [Step4.]
Step 6: DC = 4 cm [D is the midpoint of BC.]
Related Terms for Bisect