A(6, 2) A′(9, 3). B(4, 2) B′(6, 3). C(8, −8) C′(12, −12). Each image coordinate is ___ times the corresponding preimage coordinate, so (x, y) --- ____?

Answer 1

You would set up to solve for the ratio (x/x₁), so between A' and A (9/6 = 3/2 = 1.5 times, same for the y values, you can see).

1. Each image coordinate is 1.5 times the corresponding preimage
2. So (x, y) becomes (1.5X, 1.5Y) for the primes (x', y')

I hope this makes sense to you!

Answer 2

Determine ratio of preimage and image coordinates for A and A':

for x coordinate ratio is 9/6 = 3/2

for y coordinate ratio is 3/2

Each image coordinate is 3/2 times the corresponding preimage coordinate so

(x,y) = (3/2x, 3/2y)