Question

use the following figure to determine the motion rule that describes the reflection from quadrilateral abcd to quadrilateral lmnp. drag & drop the answer (x,y)→(−x,y) (x,y)→(x,−y) (x,y)→(−x,−y) now use ctrl+d to drag the option via keyboard (x,y)→(x,−y)

Explanation:

Step1: Recall reflection rules

Reflection over the x - axis changes the sign of the y - coordinate while keeping the x - coordinate the same. That is, the transformation rule for a reflection over the x - axis is \((x,y)\to(x, - y)\). Looking at the quadrilaterals ABCD and LMNP, we can observe that they are related by a reflection over the x - axis.

Answer:

\((x,y)\to(x, - y)\)