Answer:
The correct option is c.
Step-by-step explanation:
If the direction of rotation is not mentioned, then it is considered as counterclockwise rotation.
It is given that the figure XYZ rotated 190° and a 80° rotation(composition), both about point y.
It means figure is rotated 80° counterclockwise about the point y after that the new figure is rotated 190° counterclockwise about the point y.
[tex]80^{\circ}+190^{\circ}=270^{\circ}[/tex]
It means the figure XYZ rotated 270° counterclockwise about the point y.
In figure (a), XYZ rotated 90° counterclockwise about the point y.
In figure (b), XYZ rotated 180° counterclockwise about the point y.
In figure (c), XYZ rotated 270° counterclockwise about the point y.
In figure (d), XYZ rotated 360° counterclockwise about the point y.
Therefore the correct option is c.
