Question

On a coordinate plane, 5 parallelograms are shown. Parallelogram L M N P has points (3, 1), (4, 1), (4, 3), and (5, 3). Figure D is reflected across the x-axis. Figure B is reflected across the y-axis. Figure C is rotated in the first quadrant. Figure A is rotated in the third quadrant.
Which figure represents the image of parallelogram LMNP after a reflection across the line y = x?

figure A
figure B
figure C
figure D

Answer 1

Reflecting across y = x swaps coordinates: (x,y) → (y,x).

Original vertices: (3,1), (4,1), (4,3), (5,3)
Reflected vertices: (1,3), (1,4), (3,4), (3,5)

Those points lie in the first quadrant, matching figure C. So the image is figure C.