Question

Construct an isosceles right-angled triangle, having hypotenuse= 8 cm. Draw its lines of symmetry. 

Answer 1

Steps of construction: 

(i) Draw a line segment BC= 8 cm 

(ii) Draw its perpendicular bisector whidi intersects BC at D. With Das centre and BD or CD as radius, draw a semi-circle. 

(iii) Produce the perpendicular bi sector of BC which intersects the ci rel e at A. 

(iv) Join AB and AC. Triangle ABC is the required isosceles right-angled triangle. 

The perpendicular bisector of hypotenuse BC is the line of symmetry.