Question

making predictions with transformations
which quadrant will △low be in when it is reflected across the y - axis and then reflected across the x - axis?
(1 point)
quadrant iii
quadrant i
quadrant ii
quadrant iv

Explanation:

Step1: Recall y - axis reflection rule

The rule for reflecting a point $(x,y)$ across the $y$-axis is $(-x,y)$. If $\triangle LOW$ is in the third - quadrant (assuming the initial position from the graph), after reflecting across the $y$-axis, the $x$-coordinates of its vertices change sign and it moves to the fourth - quadrant.

Step2: Recall x - axis reflection rule

The rule for reflecting a point $(x,y)$ across the $x$-axis is $(x, - y)$. After reflecting the triangle (which is now in the fourth - quadrant) across the $x$-axis, the $y$-coordinates of its vertices change sign and it moves to the first - quadrant.

Answer:

Quadrant I