Question

1. figure abcdef is dilated about the origin to create figure ghijkl. what rule best describes this transformation? (x,y) -> (2x, 2y)

Explanation:

Step1: Recall dilation rule

Dilation about origin with scale - factor \(k\) has the rule \((x,y)\to(kx,ky)\).

Step2: Identify scale - factor

By comparing corresponding side - lengths of Figure \(ABCDEF\) and Figure \(GHIJKL\), we can see that each coordinate of the original figure is multiplied by \(2\). For example, if we consider a point on the original figure and its corresponding point on the dilated figure, the distance from the origin to the dilated - point is twice the distance from the origin to the original point.

Answer:

\((x,y)\to(2x,2y)\)