Question

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?

Answer 1

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