Question

5 multiple choice 1 point point p(6,4) is dilated with a scale factor of 1/2 about the origin. what are the coordinates of the image p after the dilation? (3,2) (4,3) (12,8) (2,1) clear my selection

Explanation:

Step1: Apply dilation formula

When a point \((x,y)\) is dilated about the origin with a scale factor \(k\), the new coordinates \((x',y')\) are given by \(x' = kx\) and \(y'=ky\). Here \(x = 6\), \(y = 4\), and \(k=\frac{1}{2}\).

Step2: Calculate \(x'\)

\(x'=\frac{1}{2}\times6 = 3\)

Step3: Calculate \(y'\)

\(y'=\frac{1}{2}\times4 = 2\)

Answer:

A. \((3,2)\)