Points A, B, and, C have xy-coordinates (2,0), (8,12), and (14,0), respectively. Points X, Y, and Z have xy-coordinates (6,0), (8,4), and (10,0), respectively. What fraction S of the area of triangle ABC is the area of triangle XYZ?	Choose the correct choice from the following choices.
A) 1/9	B) 1/8	C) 1/6	D) 1/5	E) 1/3
If you notice, both triangles ABC and XYZ have a side on X axis. we can take these sides as bases for each triangle, therefore   1/9rea of 1/9BC is 1/2*12*12 (Height of 1/9BC is the y coordinate of the third point (8,12))   similarly 1/9rea of XYZ is 1/2*4*4   dividing area of XYZ with that of 1/9BC gives S=1/9.1/9
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Points A, B, and, C have xy-coordinates (2,0), (8,12), and (14,0), respectively. Points X, Y, and Z have xy-coordinates (6,0), (8,4), and (10,0), respectively. What fraction S of the area of triangle ABC is the area of triangle XYZ?