Triangle ABC has coordinates A=(1,3),A=1,3, B=(2,0),B=2,0, and C=(4,1).C=4,1. The image of this triangle after a sequence of transformations is triangle A'B'C' where A'=(−5,−3),A'=-5,-3, B'=(−4,0),B'=-4,0, and C'=(−2,−1).C'=-2,-1.
Which sequence of transformations takes triangle ABC to triangle A'B'C'?
Multiple choice question.
A)
Translate triangle ABC by the directed line segment from (0,2)0,2 to (0,−4).0,-4. Then, reflect the translated image across the x-axis.
B)
Translate triangle ABC by the directed line segment from (2,0)2,0 to (−4,0).-4,0. Then, reflect the translated image across the x-axis.
C)
Translate triangle ABC by the directed line segment from (2,0)2,0 to (−4,0).-4,0. Then, reflect the translated image across the y-axis.
D)
Translate triangle ABC by the directed line segment from (0,2)0,2 to (0,−4).0,-4. Then, reflect the translated image across the y-axis.