Question

Quadrilateral PERK has vertices at P(4,4), E(12,4), R(10,−2), and K(2,−2). Find the vertices of the quadrilateral after a dilation with scale factor 32.
These are the options. 1,2,3, and 4.

1. P'(8/3, 8/3), E'(8, 8/3), R'(20/3, −4/3), and K'(4/3, −4/3)
2. P'(−6, −6), E'(−18, −6), R'(−15, 3), and K'(−3, 3)
3. P'(6, 6), E'(18, 6), R'(15, −3), and K'(3, −3)
4. P'(−8/3, −8/3), E'(−8, −8/3), R'(−20/3, 4/3), and K'(−4/3, 4/3)

Answer 1

Answer:

  option 3

Step-by-step explanation:

Dilation by a scale factor of 3/2 multiplies each of the coordinate values by 3/2. For example, P' = (3/2)P = (3/2)(4, 4) = (6, 6).

The only choice with coordinates matching these is option 3.