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Question
A( 4, 1 ), B(2,3) and C( 5,6) are the vertices of a figure which is symmetrical about x=7. Complete the figure and give the geometrical name of the figure if any.
Solution
Steps of construction:
(i) Plot the point A, B and Con the graph.
(ii) Point symmetric to A( 4, 1) about x = 7 is D( 10, 1)
(iii) Point symmetric to B(2,3) about x = 7 is E( 12, 3)
(iv) Point symmetric to C(S,6) about x = 7 is F(9,6)
(v) Join AB, AC, BC, AD, DE, DF, EF and CF.
The figure formed is a trapezium ADCF with two equal scalene triangles (ABC and DEF) attached to it.
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