What are two possible transformations that together could have been used to create the red figure from the blue figure? A) a reflection across the x axis follow
Mathematics
tgbmhgn
Question
What are two possible transformations that together could have been used to create the red figure from the blue figure?
A) a reflection across the x axis followed by a reflection across the y axis
B) a translation of 1 unit down followed by a rotation of 90 degrees clockwise about the origin
C) a rotation of 90 degrees counterclockwise about the origin followed by a reflection across the x axis
D) a rotation of 90 degrees counterclockwise about the origin followed by a translation of 1 unit down
A) a reflection across the x axis followed by a reflection across the y axis
B) a translation of 1 unit down followed by a rotation of 90 degrees clockwise about the origin
C) a rotation of 90 degrees counterclockwise about the origin followed by a reflection across the x axis
D) a rotation of 90 degrees counterclockwise about the origin followed by a translation of 1 unit down
2 Answer

1. User Answers Starsea
I think its either C or D give me one second to figure it out. 
2. User Answers parmesanchilliwack
Answer:C) a rotation of 90 degrees counterclockwise about the origin followed by a reflection across the x axis
Stepbystep explanation:
Since, when the figure is rotated 90 degree counterclockwise about the origin,
Then the new coordinates are,
[tex](1,0)\rightarrow (0,1)[/tex]
[tex](2,0)\rightarrow (0,2)[/tex]
[tex](4,1)\rightarrow (4,1)[/tex]
[tex](4,3)\rightarrow (4,3)[/tex]
Now, When the transformed figure again reflected across the x axis,
Then the coordinates of final figure are,
[tex](0,1)\rightarrow (0,1)[/tex]
[tex](0,2)\rightarrow (0,2)[/tex]
[tex](4,1)\rightarrow (4,1)[/tex]
[tex](4,3)\rightarrow (4,3)[/tex]
Which are the coordinates of the red figure,
Thus, Option C is correct.