Final answer:
A translation is a transformation that moves every point in a figure the same distance in the same direction. A dilation changes the size of a figure but not its shape. A dilation about a point P means the center of dilation is point P.
Step-by-step explanation:
A translation is a transformation that moves every point in a figure the same distance in the same direction. It can be thought of as sliding the figure without changing its shape or orientation. A dilation, on the other hand, is a transformation that changes the size of a figure but not its shape.
It involves multiplying the coordinates of each point by a scale factor. A dilation about a point P means that the center of dilation is point P, and all the other points are dilated with respect to point P. Similarly, a dilation about another point Q means that the center of dilation is point Q, and all the other points are dilated with respect to point Q.