Question

1. each student below wrote an algebraic rule to represent a transformation on the coordinate plane. circle the name of any student whose rule represents a dilation that is an enlargement.

roberto
(x, y)→(6/5x, 6/5y)
ella
(x, y)→(0.3x, 0.3y)
henry
(x, y)→(x + 2, y + 2)
maxine
(x, y)→(1.1x, 1.1y)

Explanation:

Step1: Recall dilation rule

A dilation centered at the origin with scale factor $k$ has the rule $(x,y)\to(kx,ky)$. An enlargement has $k > 1$.

Step2: Analyze each rule

For Roberto: $(x,y)\to(\frac{6}{5}x,\frac{6}{5}y)$, where $k=\frac{6}{5}=1.2>1$, it's an enlargement dilation.
For Ella: $(x,y)\to(0.3x,0.3y)$, where $k = 0.3<1$, it's a reduction dilation.
For Henry: $(x,y)\to(x + 2,y + 2)$ is a translation, not a dilation.
For Maxine: $(x,y)\to(1.1x,1.1y)$, where $k=1.1>1$, it's an enlargement dilation.

Answer:

Roberto, Maxine