Question

Rectangle ABCD is rotated 180°. What rule shows the input and output of the rotation, and what is the new coordinate of A?

O(x,y) + (-X-y): A' is at (5.-1)
O(x,y) -- (-y, x); A' is at (-1,-5)
O(x, y) -- () -x), A' is at (1,5)
O (X,Y) - (x -Y). A' is at (-5, -1)

Answer 1

To rotate a point (x, y) 180 degrees counterclockwise, use the rule x' = -x and y' = -y. Applying this rule, the new coordinate of point A (5, -1) after the rotation is (-5, 1).

Step-by-step explanation:

In order to rotate a point (x, y) 180 degrees counterclockwise, we can apply the following rule:

x' = -x
y' = -y

Using this rule, we can find the new coordinate of point A (5, -1) after a 180-degree rotation. Applying the rule, we get:

x' = -5
y' = -(-1) = 1

Therefore, the new coordinate of point A is (-5, 1).