Trapezoid LMNP was reflected using the rule ry–axis(x, y) → (–x, y). Which figure represents the image of the reflection?

figure

The triangles are similar. what is the value of x? show your work.

A(1,1) b(-3,0) c(-4,-1) d(3,-2) drag it to correct position

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.