Triangle ABC has vertices of A(0,0), B(–4,0)and C(–2,4). The coordinates of each vertex in triangle AEF are multiplied by 3 Is triangle ABC~AEF? Explain.

Answer 1

yes
The parallelism of the corresponding line is maintained, so the angles stay the same

e.g. B(-4,0) ----> B1(-12,0)
C(-2,4) -------> C1(-6,12)
slope AB = (4-0)/(-2+4) = 4/2 = 2
slope A1B1=(12-0)/(-6+12) = 12/6 =2