3. Lines I and n are the lines of symmetry of the line segments XY and

1.	3. Lines I and n are the lines of symmetry of the line segments XY and YZ respectively. tXA4 cm and YZ6 cm, find AY, YB, XZ.a mFig. 13.10
Answer» since line of symmetry divides the line segment into two parts so, XA = AY = 4cm again YZ = 6 = YB+BZ but YB = BZ , so YB = BZ = YZ/2 = 3cm now XZ = XA +AY+YB+BZ = 4+4+3+3 = 14cm

3. Lines I and n are the lines of symmetry of the line segments XY and YZ respectively. tXA4 cm and YZ6 cm, find AY, YB, XZ.a mFig. 13.10

Answer»

since line of symmetry divides the line segment into two parts

so, XA = AY = 4cm

again YZ = 6 = YB+BZ but YB = BZ , so YB = BZ = YZ/2 = 3cm

now XZ = XA +AY+YB+BZ = 4+4+3+3 = 14cm