Question

drag each variable to the correct location on the ordered pair. not all variables will be used.

triangle \\(abc\\) is reflected across the \\(y\\)-axis to create triangle \\(abc\\). complete the ordered pair to describe this transformation.

\\((x, y) = (\quad, \quad)\\)

options:
\\(-x\\), \\(x\\), \\(y\\), \\(-y\\)

Explanation:

Identify the transformation rule

The problem states that Triangle \(ABC\) is reflected across the \(y\)-axis to create triangle \(A'B'C'\).

Apply the reflection rule

A reflection of a point \((x, y)\) across the \(y\)-axis negates the \(x\)-coordinate while keeping the \(y\)-coordinate unchanged:

$$ (x', y') = (-x, y) $$

Answer:

Triangle ABC is reflected across the \(y\)-axis to create triangle \(A'B'C'\). Complete the ordered pair to describe this transformation.

\((x', y') =\) (<blank>\(-x\)</blank>, <blank>\(y\)</blank>)