Answer:
C.The property defines a translation
Step-by-step explanation:
We are given that a certain mapping in the xy-plane
Each point P (x,y) is mapped to a point P'(x-5,y-2).
We have to find that which statement is true in given option.
It is not reflection property because reflection about any axis then the coordinate does not change only sign of x and y change depend upon the reflection about x- axis or y- axis.
Therefore,option A is false.
Rotation:it is a transformation that turns a figure about a fixed point called center of rotation.
Rotation can be 90 degrees , 180,270 and 360 degrees
If the point P rotate 90 degrees then the point P'(-y,x),If point P rotate about 180 degrees then the point P'(-x,-y), when the point P rotate about 270 degrees then the point P'(y,-x), when the point P rotate about 360 degrees then the point P'(x,y).
Therefore, it is not a rotation.
It is a translation property because in translation every point must move same distance.
