Question

a city planner is designing a zoomed - in map of a triangular plaza. she starts with triangle abc, with vertices at (-4,2), (6, - 2) and (2,4), and creates a dilation centered at the origin with a scale factor of 1.5 to produce triangle abc.
question 2
what transformation rule would you use to generate triangle abc from triangle abc?

Explanation:

Step1: Recall the dilation formula

For a dilation centered at the origin with scale factor \(k\), the transformation rule for a point \((x,y)\) is \((x,y)\to(kx,ky)\).

Step2: Identify the scale factor

Here, the scale factor \(k = 1.5\).

Answer:

\((x,y)\to(1.5x,1.5y)\)