Answer:
C. a rotation 180° clockwise about the origin followed by a reflection across the line y = x
Step-by-step explanation:
Let us assume that the coordinate of A in triangle ABC is A(x, y)
A) If there is a reflection across line y = x, the new coordinate is at A'(y, x).
If a reflection across the line y = -x is then followed, the new coordinate is at A"(-x, -y)
B) If there is a reflection across line x axis, the new coordinate is at A'(x, -y).
If a reflection across the line y axis is then done, the new coordinate is at
A"(-x, -y)
C) If there is a rotation 180° clockwise about the origin, the new coordinate is at A'(-x, -y).
If a reflection across the line y = x is then followed, the new coordinate is at A"(-y, -x)
D) B) If there is a reflection across line y axis, the new coordinate is at A'(-x, y).
If a reflection across the line x axis is then done, the new coordinate is at
A"(-x, -y)
Since only option C has a different result from the remaining options, hence option C would not five triangle A'B'C'
into vertex form, we need to complete the square on the right side
, then
completes the square on the right side