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

Step-by-step 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.