Question

Which rule will yield a similar figure instead of a congruent figure?(1 point)
Responses

(x, y) → (x+h, y+k)
(x, y) → (x+h, y+k)

(x, y) → (−x, −y)
(x, y) → (−x, −y)

(x, y) → (y , x)
(x, y) → (y , x)

(x, y) → (kx , ky)

Answer 1

(x, y) → (kx, ky)

This is a dilation (uniform scaling). It multiplies all distances by |k|, producing a similar figure (same shape, different size) unless |k| = 1 (which would be congruent). The other rules are rigid motions (translations, rotations/reflections) that preserve size, so they give congruent figures.