Question

reflecting a shape over the line y = x means swapping the _. a transformation that does not change the size or shape of a figure but changes its position is called a _. the process of shifting every point of a shape the same distance in the same direction is called a _.

Explanation:

1. When reflecting a shape over the line $y = x$, the $x$ - and $y$ - coordinates of each point are swapped.
2. A transformation that preserves the size and shape of a figure while changing its position is a rigid - motion or an isometry, and a translation is a type of rigid - motion.
3. Shifting every point of a shape the same distance in the same direction is called a translation.

Answer:

1. $x$ and $y$ coordinates
2. translation (or rigid - motion/isometry)
3. translation