Based on the shortest leg of the triangle illustrated, if a similar triangle on the coordinate plane has its shortest leg defined by the points (2, 3) and (8, 3), what is the third point?

a) (2, -5)
eliminate
b) (2, -6)
c) (2, -7)
d) (2, -8)

The answer would be B) (2, -6).  This is because, if you notice that the undrawn figure's shortest leg is 6 units, and the drawn figure's shortest leg is 2, then the scale factor is 3.  The other leg of the drawn triangle is 3 units, so just multiply that by three so that the leg on your other triangle is 9 units.  The coordinate you need to complete the triangle so that it would be similar is (2,-6).

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