First of all, C. and D. are both incorrect because they apply translations to ABC; translations will misalign ADE with ABC.
Next, A. is incorrect because a dilation of 1/2 will place D at (0,3) from its original point of (0,2). Also, the dilation will place E at (6,0) from its original point of (4,0). The triangle ADE would be too small to map ABC.
Finally,
B. Is the correct answer because a dilation of 2 will place D at (0,4)—where B is—and will place E at (8,0), where C is. Choice B. maps ADE onto ABC
Sorry for that much information, but I think it’s useful. XD
