Question

Pentagon PQRST is drawn on a coordinate plane below. what rule best represents a dilation to create pentagon PQRST with a scale factor of 1/2 and with the origin as the center of dilation?

Answer 1

Answer: $(x,y) \to (\dfrac12 x, \dfrac12 y)$

Step-by-step explanation:

• Dilation is a transformation, in which the size of the image gets changed but not shape.

The rule of dilation with scale factor k and wither origin as center of dilation :

(x,y) → (kx, ky)

Here , $k= \dfrac12$ , center of dilation = Origin

Then, the rule best represents a dilation to create pentagon PQRST will be :

$(x,y) \to (\dfrac12 x, \dfrac12 y)$