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

Explanation:

Step1: Understand the reflection rule

The rule $r_{y - axis}(x,y)\to(-x,y)$ means that for every point $(x,y)$ in the original trapezoid LMNP, its image after reflection over the y - axis will have the x - coordinate negated while the y - coordinate remains the same. This implies that the figure will be flipped across the y - axis.

Step2: Analyze the position of the original trapezoid

Trapezoid LMNP is in the second quadrant. After reflection over the y - axis, it should move to the first quadrant.

Step3: Check the options

Option C is in the first quadrant and has the same shape and orientation relative to the y - axis as the original trapezoid LMNP would have after reflection.

Answer:

C