Question

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)

Answer 1

Answer: R0, 180° and (x, y) → (–x, –y)

Step-by-step explanation: On Edge!!

Answer 2

R0, 180°

(x, y) → (–x, –y)

Explanation:

Knowing that:

The coordinates of ΔXYZ is x '(-2, 2), Y(1, 2), Z(0, 4)

The coordinates of ΔX'Y'Z' is x'(2, -2), Y'(-1, -1), Z'(0, -4)

Coordinates of the preimage = (x, y)

Coordinates of the image = (-x, -y)

transformation by rotation 180° about the origin.

Solve:

R0, 180°

(x, y) → (–x, –y)

~Lenvy~