Question

Which of the following transformations will produce similar figures? Select all that apply.

(x + 2, y - 5)
(-x, y)
( 1/2 x, 1/2 y)
(2x, 4y)

Answer 1

Similar figures are produced by translations, reflections, rotations, and uniform dilations. So:

- (x + 2, y - 5): yes (translation)
- (-x, y): yes (reflection across the y-axis)
- (1/2 x, 1/2 y): yes (uniform dilation by 1/2)
- (2x, 4y): no (non‑uniform scaling — x and y scaled by different factors)