Question

13 the figure below shows square rstu on a coordinate plane. if the square is dilated by a scale factor of 6 with the origin as the center of dilation, what are the coordinates of vertex u of the dilated square rstu? a (18, 18) b (2, 2) c (72, 18) d (2, 0.5)

Explanation:

Step1: Find original coordinates of U

From the graph, the coordinates of vertex U of square RSTU are (3, 3).

Step2: Apply dilation formula

For a dilation with scale - factor \(k = 6\) and center of dilation at the origin \((0,0)\), the formula to find the coordinates of a dilated point \((x',y')\) from an original point \((x,y)\) is \((x',y')=(k\times x,k\times y)\). Here, \(x = 3\) and \(y = 3\), \(k = 6\). So \(x'=6\times3 = 18\) and \(y'=6\times3 = 18\).

Answer:

A. (18, 18)