Question

which figure represents the image of trapezoid lmnp after a reflection across the x - axis? figure a figure b figure c figure d

Explanation:

Step1: Recall reflection rule

When reflecting a point $(x,y)$ across the $x - axis$, the transformation rule is $(x,y)\to(x, - y)$. That is, the $x$-coordinate remains the same and the $y$-coordinate changes its sign.

Step2: Analyze trapezoid LMNP

For trapezoid LMNP, all its vertices' $y$-coordinates will change sign after reflection across the $x - axis$. The trapezoid will be flipped to the opposite side of the $x - axis$.

Step3: Identify the image

By observing the position of trapezoid LMNP and applying the reflection rule, we can see that the trapezoid will be in the position of figure A.

Answer:

A. figure A