Triangle XYZ is rotated to create the image triangle X'Y'Z'. On a coordinate plane, 2 triangles are shown. The first triangle has points X (negative 2, 2), Y (1, 2), Z (0, 4). The second triangle has points X prime (2, negative 2), Y prime (negative 1, negative 1), Z prime (0, negative 4). Which rules could describe the rotation? Select two options. R0, 90° R0, 180° R0, 270° (x, y) → (–y, x) (x, y) → (–x, –y)

180° rotation rule  (x, y) → (–x, –y)..

Step-by-step explanation:

Given: Triangle XYZ is rotated to create the image triangle X'Y'Z'. On a coordinate plane, 2 triangles are shown.

The first triangle has points X (-2, 2), Y (1, 2), Z (0, 4).

The second triangle has points X prime (2, - 2), Y prime (- 1, - 1), Z prime (0, - 4).

Here the sign of both coordinates has been changed but the magnitude remains same.

So, the rule is which is for 180° rotation.

Hence, the correct answer is 180° rotation rule  (x, y) → (–x, –y).

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step-by-step explanation: