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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-example-1

2 Answers

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

Explanation:

Since, when the figure is rotated 90 degree counterclockwise about the origin,

Then the new coordinates are,


(1,0)\rightarrow (0,1)


(2,0)\rightarrow (0,2)


(4,1)\rightarrow (-4,1)


(4,3)\rightarrow (-4,3)

Now, When the transformed figure again reflected across the x axis,

Then the coordinates of final figure are,


(0,1)\rightarrow (0,-1)


(0,2)\rightarrow (0,-2)


(-4,1)\rightarrow (-4,-1)


(-4,3)\rightarrow (-4,-3)

Which are the coordinates of the red figure,

Thus, Option C is correct.

User Ugo Marinelli
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