Question

16,104 Learners found this answer helpful

△klm is dilated by a scale factor of 2 with the center of dilation at the origin. what are the coordinates of point l?

Explanation:

Step1: Recall the dilation formula

When a point \((x,y)\) is dilated by a scale factor \(k\) with the center of dilation at the origin \((0,0)\), the new coordinates \((x',y')\) are given by \((x',y')=(kx,ky)\). Here \(k = 2\).

Step2: Identify the original coordinates of \(L\)

From the graph, the original coordinates of \(L\) before dilation are \((4,2)\).

Step3: Apply the dilation formula

Using \(x = 4\), \(y=2\) and \(k = 2\), we get \(x'=2\times4=8\) and \(y'=2\times2 = 4\).

Answer:

\((8,4)\)