Triangle xyz with vertices x(0, 0), y(0, –2), and z(–2, –2) is rotated to create the image triangle x'(0, 0),
y'(2, 0), and z'(2, –2).

which rules could describe the rotation? select two options.

r0, 90°
r0, 180°
r0, 270°
(x, y) → (–y, x)
(x, y) → (y, –x)

(x, y) → (–y, x)

Rotation by 90° around the origin in counterclockwise direction

In this problem, we hace the following vertices:

Each vertex is rotated to create the following image triangle:

As you can see, if you consider the point (x,y), if you swap the x- and y-coordinates and then multiply the new x-coordinate by -1, you get the coordinates of the created image. Then, the rule you follow is:

(x, y) → (–y, x)

or in other words:

Rotation by 90° around the origin in counterclockwise direction

R0, 90°

(x, y) → (–y, x)

Explanation:

The triangles are shown below

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