Mathematics

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
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

2 Answer

  • I think its either C or D give me one second to figure it out.
  • Answer:C) a rotation of 90 degrees counterclockwise about the origin followed by a reflection across the x axis

    Step-by-step 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.

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