Which series of transformations shows that rectangle W'X'Y'Z' is similar to rectangle WXYZ? Assume all dilations are centered at the origin.
A.
Reflect rectangle XYZW across side WZ, translate it seven units up and two units to the left, and dilate it by a scale factor of 3.
B.
Reflect rectangle XYZW across side WZ, translate it two units up and seven units to the left, and dilate it by a scale factor of .
C.
Reflect rectangle XYZW across side WX, translate it five units up and two units to the left, and dilate it by a scale factor of .
D.
Reflect rectangle XYZW across side WX, translate it two units up and five units to the left, and dilate it by a scale factor of 3.
1 answer
The correct answer is D. Reflecting the rectangle across side WX and then translating it two units up and five units to the left is equivalent to reflecting it across the origin and then translating it five units up and two units to the left. Finally, dilating it by a scale factor of 3 centered at the origin will result in the similarity between rectangle W'X'Y'Z' and rectangle WXYZ.
1 answer