Question

question 5 of 5

type the correct answer in the box.

triangle \\(qrs\\) is reflected across the \\(y\\)-axis to create triangle \\(qrs\\). complete the rule that describes the coordinates of triangle \\(qrs\\) after the reflection has occurred.

\\(x, y\\)

Explanation:

Identify the transformation type

The problem states that triangle \(QRS\) is reflected across the \(y\)-axis to create triangle \(Q'R'S'\).

Apply the reflection rule

A reflection across the \(y\)-axis negates the \(x\)-coordinate of each point while keeping the \(y\)-coordinate the same:

$$ (x, y) ightarrow (-x, y) $$

Determine the coordinates of the image

The coordinates of the reflected points \(x'\) and \(y'\) are given by:

$$ x' = -x,\quad y' = y $$

Thus, the rule describing the coordinates is \((-x, y)\).

Answer:

Triangle \(QRS\) is reflected across the \(y\)-axis to create triangle \(Q'R'S'\). Complete the rule that describes the coordinates of triangle \(Q'R'S'\) after the reflection has occurred.

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