Final answer:
Dilation, rotation, translation, and reflection are different types of transformations of points in mathematics.
Step-by-step explanation:
The student is asking about describing the transformation of given points in terms of dilation, rotation, translation, and reflection.
Dilation
A dilation is a transformation that changes the size of an object. In a dilation, each point of the object is moved along a line from the center of dilation by a certain scale factor. The distance between the points and the center of dilation is multiplied by the scale factor. For example, if the scale factor is 2, each point is moved twice as far from the center of dilation.
Rotation
A rotation is a transformation that moves each point of an object around a fixed point called the center of rotation. The points are moved along a circular path, and the angle of rotation determines how far each point moves. Positive angles rotate the object counterclockwise, and negative angles rotate the object clockwise.
Translation
A translation is a transformation that moves every point of an object along a straight line in the same direction. The distance and direction of the movement are the same for each point. Translations do not change the size or shape of the object.
Reflection
A reflection is a transformation that flips an object over a line called the line of reflection. Each point of the object is reflected across the line, creating a mirror image. The distance between the point and the line of reflection is the same before and after the reflection.