Question

Construct a Δ ABC in whidi BA= BC= 6 cm and AC= 4.5 cm. Taking AC as line of symmetry, obtain a point D to form a quadrilateral ABCD. Name the figure ABCD. 

Answer 1

Steps of construction: 

(i) Draw a line segment AC= 4.5 cm 

(ii) With Band C as centres and 6 cm as radius 1 draw arcs which intersect each other at B. 

(iii) Join AB and BC. Δ ABC is the required triangle. 

(iv) Again with Band C as centres and 6 cm as radius 1 draw arcs which intersect each other at D. 

(v) Join AD and DC. Δ ADC is the triangle which is the reflection of Δ ABC. 

ABCD is the required quadrilateral and it is a rhombus.