Question

the original shape before any transformations are applied is called the ____. reflecting a shape over the y - axis involves flipping it __. a line that runs vertically on the coordinate plane and is used as a reference for reflections is the __. when reflecting a shape over the x - axis, the shape is flipped ____.

Explanation:

First Question:

In the context of transformations of figures, the original shape before any transformations (like reflections, translations, rotations) is defined as the preimage. This is a key term in the study of geometric transformations (subfield: Geometry).

When reflecting a shape over the \( y \)-axis, the shape is flipped across the \( y \)-axis, which is a vertical line of reflection. The direction of the flip is horizontally (left - right) across the \( y \)-axis.

A vertical line on the coordinate plane that is used as a reference for reflections (especially for reflecting over the \( y \)-axis) is the \( y \)-axis. The \( y \)-axis is the line \( x = 0 \) and runs vertically through the origin.

Answer:

preimage

Second Question: