Question

question 7 of 10
what rule describes a dilation with a scale factor of ⅓ and the center of dilation at the origin?
a. (x,y)→(⅓x,⅓y)
b. (x,y)→(x + ⅓,y + ⅓)
c. (x,y)→(x - ⅓,y - ⅓)
d. (x,y)→(-⅓x,-⅓y)

Explanation:

Step1: Recall dilation rule

For a dilation with scale - factor $k$ and center at the origin, the rule is $(x,y)\to(kx,ky)$.

Step2: Identify scale - factor

Here $k = \frac{1}{3}$, so the rule is $(x,y)\to(\frac{1}{3}x,\frac{1}{3}y)$.

Answer:

A. $(x,y)\to(\frac{1}{3}x,\frac{1}{3}y)$