Question

Construct an equilateral triangle with each side 6 cm. In the triangle drawn, draw all the possible lines of symmetry.

Answer 1

Steps of Construction:

(i) Draw a line segment BC = 6 cm

(ii) With centres B and C and radius 6 cm, draw two arcs intersecting each other at A.

(iii) Join AB and AC
∆ ABC is the required equilateral triangle,

(iv) Draw the angle bisectors of ∠A, ∠B, and ∠C.
These are the lines of symmetry which are three in numbers as the triangle is equilateral.