Question

troy reflects figure wxyz across the x - axis to form figure wxyz. troy incorrectly says the coordinates of w are (-3,4). drag a response into each box to identify troys error. not all answer choices will be used. when a figure is reflected across the x - axis, the y - coordinates of the corresponding vertices are opposites, and the x - coordinates of the corresponding vertices are the same. troy may have reflected figure wxyz across the y - axis instead of the x - axis. the correct coordinates for w are

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ across the $x - axis$, the rule is $(x,y)\to(x, - y)$. The $x$-coordinates remain the same and the $y$-coordinates change sign.

Step2: Analyze Troy's error

Troy likely reflected across the $y - axis$ instead, because when reflecting across the $y - axis$ the rule is $(x,y)\to(-x,y)$.

Step3: Find correct coordinates

Assume the original coordinates of $W$ are $(-3,4)$. When reflecting across the $x - axis$, the correct coordinates of $W'$ should be $(-3,-4)$.

Answer:

Troy likely reflected across the $y$-axis instead of the $x$-axis. The correct coordinates of $W'$ are $(-3,-4)$.