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

Answer 1

I think its either C or D give me one second to figure it out.

Answer 2

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.