Answer:
C) Reflected over the x-axis and rotated 90° counterclockwise.
Step-by-step explanation:
Given : transformations are applied to parallelogram ABCD to create A'B'C'D'
To find : What set of transformations are applied.
Solution : We have given parallelogram ABCD.
Parent coordinates :
A ( -4, 1) →→ A' (1 ,-4)
B (-3 ,2 ) →→ B' (2 ,-3)
C (-1 ,2) →→ C' (2 ,-1)
D (-2 ,1) →→ D' (1 ,-2)
By the reflection rule over x axis ( x ,y ) →→ (x , -y), and then
Rotation rule of 90° counterclockwise (x , -y)→→ ( y , x ) .
So, the final transformation is (x , y)→→ ( y , x ) .
Therefore, C) Reflected over the x-axis and rotated 90° counterclockwise.
