Question

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

Explanation:

Step1: Recall reflection rule over x-axis

For any point $(x,y)$, its reflection across the x-axis is $(x,-y)$.

Step2: Identify vertices of LMNP

Take key vertices of trapezoid LMNP: e.g., if LMNP has vertices like $(-4,1)$, $(-2,1)$, $(-2,3)$, $(-3,3)$.

Step3: Apply reflection rule

Reflect each vertex:
$(-4,1) \to (-4,-1)$, $(-2,1) \to (-2,-1)$, $(-2,3) \to (-2,-3)$, $(-3,3) \to (-3,-3)$.

Step4: Match reflected shape

These reflected vertices correspond to Figure A.

Answer:

A. figure A