Question

△ TUV undergoes the dilation: (x, y) → → (2x, 2y). Then it is translated: (x, y) → → (x - 10, y - 8). If vertex T was at (8, 6), what are its coordinates after these two transformations?

(16, 12)
(-2, -2)
(6, 4)
(-4, -4)

Answer 1

(6, 4)

Explanation:

step 1

we have

The vertex T (8,6)

First transformation

The rule of the dilation is

(x, y) → → (2x, 2y)

so

(8, 6) → → (16, 12)

step 2

Second transformation

The rule of the translation is

(x, y) → → (x - 10, y - 8)

so

(16, 12) → → (16 - 10, 12 - 8) → → (6, 4)