For a figure on a coordinate plane with the origin as the center of dilation,
if (x, y) ⟶ (ax, ay) and (4.3, 2.9) ⟶ (8.6, 5.8), what is a?

Respuesta :

Since (x, y) ⟶ (ax, ay) and (4.3, 2.9) ⟶ (8.6, 5.8)

By comparison   x = 4.3,  y = 2.9    and ax = 8.6,  ay = 5.8

Therefore:  a =  ax / x  ,    8.6 / 4.3 = 2.

                    a is also =   ay / y =  5.8 / 2.9 = 2.

In both cases a = 2, though we didn't  need both cases, one was enough.

a = 2