Final answer:
The subject that deals with dilations, reflections, rotations, and translations is Geometry. These transformations are used to study properties and relationships of figures and to represent real-world situations.
Step-by-step explanation:
The subject that deals with dilations, reflections, rotations, and translations is Geometry. These concepts are part of the study of geometric transformations, where we explore how shapes can be changed through different motions.
Dilations involve changing the size of a shape while maintaining its shape, reflections involve flipping a shape across a line of symmetry, rotations involve turning a shape around a fixed point, and translations involve sliding a shape without changing its orientation. These transformations are used to study properties and relationships of figures and to represent real-world situations.
For example, if you want to describe how a triangle is transformed when it is enlarged by a scale factor of 2, you can use dilation. If you want to describe how a rectangle is flipped across the x-axis, you can use reflection. If you want to describe how a square is rotated 90 degrees counterclockwise, you can use rotation. And if you want to describe how a parallelogram is shifted 3 units to the right and 2 units down, you can use translation.