Question

1. use this graph to answer the question. a dilation of scale factor 2 is applied to rectangle abcd, centered at the origin. what are the coordinates of b? a. (1,2) b. (2,1) c. (4,8) d. (8,4)

Explanation:

Step1: Find the coordinates of point B

From the graph, the coordinates of point B are \((4, 2)\).

Step2: Apply the dilation formula

For a dilation centered at the origin with scale factor \(k\), the formula is \((x,y)\to(kx,ky)\). Here \(k = 2\), \(x=4\), \(y = 2\).
So, \(x'=2\times4=8\) and \(y'=2\times2 = 4\).

Answer:

D. \((8,4)\)