Question

which quadrant will △low be in when it is reflected across the y - axis and then reflected across the x - axis? (15 points)

quadrant i

quadrant ii

quadrant iii

quadrant iv

Explanation:

Step1: Recall reflection rules

Reflection across y - axis changes sign of x - coordinate. Reflection across x - axis changes sign of y - coordinate.

Step2: Analyze original points

Let's assume coordinates of points in \(\triangle LOW\). After reflection across y - axis and then x - axis, the net transformation for a point \((x,y)\) is \((-x,-y)\to(x,y)\). If the original triangle is in Quadrant III (as it appears), after reflection across y - axis and then x - axis, it will end up in Quadrant I.

Answer:

Quadrant I