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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.
Solution
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.
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