Question

the figure below is dilated by a factor of 2 centered at the origin. what would be the ordered pair of the new point, r?

Explanation:

Step1: Identify original coordinates of R

The original coordinates of point R are (2, 1).

Step2: Apply dilation formula

For a dilation centered at the origin with a scale - factor \(k\), the new coordinates \((x',y')\) of a point \((x,y)\) are given by \((x',y')=(k\times x,k\times y)\). Here \(k = 2\), \(x = 2\) and \(y = 1\).
\(x'=2\times2 = 4\)
\(y'=2\times1 = 2\)

Answer:

(4, 2)