A triangle has vertices at B(−3, 0), C(2, −1), D(−1, 2). Which transformation would produce an image with vertices B″(−2, 1), C″(3, 2), D″(0, −1)?

Question

A triangle has vertices at B(−3, 0), C(2, −1), D(−1, 2). Which transformation would produce an image with vertices B''(−2, 1), C''(3, 2), D''(0, −1)?

1. (x, y) → (x, −y) → (x + 1, y + 1) 
2. (x, y) → (−x, y) → (x + 1, y + 1) 
3. (x, y) → (x, −y) → (x + 2, y + 2) 
4. (x, y) → (−x, y) → (x + 2, y + 2)

Answer 1

(1) is the correct answer choice.

This can be verified by applying each of the translations and comparing the final results with the given values.