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:

First Blank:

When reflecting a shape over the line \( y = x \), the rule for the coordinates of a point \((x,y)\) is that it transforms to \((y,x)\). So, we swap the \( x \)-coordinate and the \( y \)-coordinate.

A transformation that preserves the size and shape of a figure (only changes its position) is known as a rigid transformation. Examples include translations, reflections, and rotations.

The transformation where every point of a shape is shifted the same distance in the same direction is called a translation. In a translation, the shape slides without rotating or resizing.

Answer:

\( x \)-coordinate and \( y \)-coordinate (or "x - coordinate and y - coordinate")

Second Blank: