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 (\frac12 x, \frac12 y)`

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= \frac12` , center of dilation = Origin

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

`(x,y) \to (\frac12 x, \frac12 y)`