Question

trapezoid lmnp was reflected using the rule $r_{y - axis}(x,y)\to(-x,y)$. which figure represents the image of the reflection? figure a b c d

Explanation:

Step1: Understand reflection rule

The rule $r_{y - axis}(x,y)\to(-x,y)$ means reflecting a point across the y - axis changes the sign of the x - coordinate while keeping the y - coordinate the same.

Step2: Apply to trapezoid

For each vertex of trapezoid LMNP, change the sign of the x - coordinate. When we do this for all vertices of the trapezoid, we can see that the resulting image is the one that is a mirror - image of the original trapezoid across the y - axis.

Answer:

The correct figure among A, B, C, D which is the mirror - image of trapezoid LMNP across the y - axis (you need to visually check the options based on the above rule application).