Question

Construct a triangle XYZ, in which XY = YZ = ZX = 4.5 cm. Draw all its lines of symmetry.

Answer 1

Steps of Construction:

(i) Draw line XY = 4.5 cm

(ii) With X as a centre and radius 4.5 cm draw an arc at Z.

(iii) With Y as a centre and radius 4.5 cm draw an arc which cuts the previous arc at Z.

(iv) Join XZ and YZ.

∆XYZ is the required triangle and lines of symmetries are shown in the above figure.