Question

which figure represents the image of trapezoid l m n p 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 rule is \((x,y)\to(x, - y)\). This means the \(x -\)coordinate remains the same and the \(y -\)coordinate changes its sign.

Step2: Analyze the position of the trapezoid

Trapezoid \(LMNP\) is in the second quadrant (where \(x<0,y > 0\)). After reflection across the \(x -\)axis, the \(x -\)coordinates of its vertices will stay the same and the \(y -\)coordinates will become negative. So the image of trapezoid \(LMNP\) should be in the third quadrant (where \(x<0,y<0\)).

Answer:

figure A