What are the coordinates of point c after the blue figure is rotated 180 degrees counterclockwise around the origin and translated 2 units to the right?

(0, - 4 )

Step-by-step explanation:

under a counterclockwise rotation about the origin of 180°

a point (x, y ) → (- x, - y ), hence

C(2, 4) → (- 2, - 4)

A translation of 2 units to the right means add 2 to the original x- coordinate while the y-coordinate remains unchanged.

(- 2, - 4 ) → (- 2 + 2, - 4 ) → (0, - 4 )

∠cbe and ∠deb are same-side interior angles.

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