Describe Dilations

an enlargement

a reduction

a scale factor

bigger

reduction

enlargement

scale

not proportional

(x, y) −> (2x, 2y)

(x, y) −> (1/2x, 1/2y)

(x, y) −> (-2x, -2y)

(x, y) −> (2x, 1/2y)

2

3

1/3

1/2

an enlargement

a rotation

a translation

a reduction

dilation

rotation

reflection

translation

Yes

No

(x, y) → (x, 3y)

(x, y) → (3x, 3y)

(x, y) → (x, y - 3)

(x, y) → (.5x, .4y)

2 / 5; reduction

5 / 2; enlargement

2 / 3; reduction

3 / 2; enlargement

a dilation with a scale factor of 2 followed by a translation 4 units right and 3 units down.

a dilation with a scale factor of 1 / 2 followed by a translation 4 units left and 3 units up.

Translation 4 units right and 3 units down followed by a dilation with a scale factor 2.

Translation 4 units left and 3 units up followed by a dilation with a scale factor 1 / 2.