Question

the new shape created after a transformation, such as a reflection or translation, is referred to as the ____. the original shape before any transformations are applied is called the __. reflecting a shape over the y - axis involves flipping it ____.

Explanation:

First Blank:

In the context of transformations (like reflection, translation) in geometry, the new shape formed is called the "image".

Before any transformation (like reflection, translation) is applied to a shape, that original shape is known as the "pre - image" (or sometimes just "original figure", but "pre - image" is the specific term in transformation geometry).

When reflecting a shape over the \(y\) - axis, the rule for the reflection is \((x,y)\to(-x,y)\). Visually, this means flipping the shape across the \(y\) - axis (the vertical axis of the coordinate plane). So the description of the action is flipping it "over the \(y\) - axis" (more precisely, across the \(y\) - axis; the direction is from one side of the \(y\) - axis to the other, so we can say "across the \(y\) - axis" or "over the \(y\) - axis" to the other side).

Answer:

image

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