Question

Triangle ABC is transformed to form triangle A'B'C' . A is at (2, 4) , B is at (3, 9) and C is at (4, 1) . Which transformation of ​ △ABC ​ results in​ ​ △A'B'C' ​​? Drag and drop the the correct answers into the each box to complete the sentence.

Answer 1

From the picture attached, you can see that:
A'(-3, -1)
B'(-1, -8)
C'(-7, -2)

Therefore, the transformation is:
x' = -x
y' = -y

These functions represent a rotation of 180° about the origin.

Therefore ΔABC is rotated counterclockwise 180° about the origin to form ΔA'B'C'.

Answer 2

Hello, there is another question. But, they're partly incorrect.

If A is at (2, 4)

B is at (3, 9)

and C is at (4, 1)

 The answer would be:  The triangle was rotated counter clockwise, and 270^ about the origin.

Hope this helps!