Answer:
Options C and D
Explanation:
From the graph attached,
Coordinates of the vertices,
X → (0, 0)
Y → (-1, -2)
Z → (0, -2)
Rule for the rotation of a point (h, k) by 180° about the origin is given by,
(h, k) → (-h, -k)
By this rule,
Coordinates of the image points will be,
X(0, 0) → X'(0, 0)
Y(-1, -2) → Y'(1, 2)
Z(0, -2) → Z'(0, 2)
Therefore, Option (C) and Option (D) are the correct options.