Question

PLEASE HELP GEOMETRY

Which figure represents the image of trapezoid LMNP after a reflection across the x-axis?

figure A
figure B
figure C
figure D

Answer 1

The answer is Figure A

Answer 2

Consider trapezoid LMNP with vertices at points (-2,3), (-2,6), (-1,6) and (-1,4), respectively.

The reflection across the x-axis has a rule:

(x,y)→(x,-y).

Then

• L(-2,3)→L'(-2,-3)
• M(-2,6)→M'(-2,-6)
• N(-1,6)→N'(-1,-6)
• P(-1,4)→P'(-1,-4)

As you can see points L', M', N' and P' form trapezoid L'M'N'P' and this is exactly figure A.

Answer: correct choice is A.