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. 

Answer 1

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.