Page 2 - LN

Step 5: Place the compasses pointer at Q and draw the arc to cut the arc drawn earlier in R.

Step 6:

This means <QPR has same measure as <BAC.

2) BISECTOR OF AN ANGLE
The line of symmetry of a an angle is known as the angle bisector.
Or
The line that divides an angle in two equal halves such that they overlap each other is
called the angle bisector.

Construction with ruler and compasses
Let an angle, say, <A be given.

Step 1: With A as centre and using compasses, draw an arc that cuts both rays of <A .
Label the points of intersection as B and C.