Question

12. Algebra Two similar figures are similar based on
the transformation (x, y) → (12x, 3a’y). What is/
are the value(s) of a?

Answer 1

Answer:

• a = ± 2

Step-by-step explanation:

Let the scale factor is k.

Then the transformation is:

• (x, y) → (kx, ky)

We have:

• (x, y) → (12x, 3a²y)

The scale factor is k = 12, find the value of a:

• 3a² = 12
• a² = 4
• a = √4
• a = ± 2