Rectangle ABCD is shown. A is at negative 5, 1. B is at negative 5, 3. C is at negative 1, 3. D is at negative 1, 1. Rectangle ABCD is rotated 180°. What rule shows the input and output of the rotation, and what is the new coordinate of A′? (x, y) → (−x, −y); A′ is at (5, −1) (x, y) → (−y, x); A′ is at (−1, −5) (x, y) → (y, −x); A′ is at (1, 5) (x, y) → (x, −y); A′ is at (−5, −1)

(x, y) ⟶ (−x, −y); A′ is at (5, −1)

Step-by-step explanation:

When you rotate a point 180° about the origin, it travels along the circumference of a circle and ends up in a diagonally opposite location.

The x and y values of its coordinates become the negatives of the original values.

The rule is

(x,y) ⟶ (-x,-y)

If the coordinates of A are (-5,1),

The coordinates of A' are (5,-1).

The figure below shows the graph or your rectangle and its rotated image.

step-by-step explanation:

see below

step-by-step explanation:

x+2> 6

subtract 2 from each side

x+2-2 > 6-2

x > 4

there is an open circle at 4 since is it is greater than and the line goes to the right