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Triangle ABC has vertices A(1,3), B(-2,-1), and C(3,-2).

After a translation of (x, y) + (x + 2, y) and a rotation of 180°,
The coordinate of A' is at:

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Final answer:

To find the coordinate of A' after the translation and rotation, first apply the translation (x, y) + (x + 2, y) to the original coordinate of A. Then, apply the rotation of 180° to the translated coordinate.

Step-by-step explanation:

To find the coordinate of A' after the translation and rotation, we first apply the translation (x, y) + (x + 2, y) to the original coordinate of A.

The new coordinate of A after the translation is A'(1+2, 3) = (3, 3).

Next, we apply the rotation of 180° to the translated coordinate of A'.

The coordinate of A' after the rotation is (-3, -3).

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