Question

then, he reflects it across the y - axis to create triangle ( abc ). after that, he rotates the new triangle ( 180^{circ} ) around the origin to see how the shape moves across the grid. question 4 2 points what happens when a figure is reflected across the y - axis? the coordinates stay the same the x - coordinates change signs the y - coordinates change signs both x - and y - coordinates change

Explanation:

Step1: Recall reflection rule

When reflecting a point \((x,y)\) across the \(y\) - axis, the rule is \((x,y)\to(-x,y)\).

Step2: Analyze coordinate changes

For any point in the figure, the \(x\) - coordinate changes its sign (e.g., if original \(x = 2\), after reflection \(x=- 2\)), and the \(y\) - coordinate remains the same.

Answer:

The \(x\) - coordinates change signs.