Final answer:
The question deals with translating and rotating a triangle in the coordinate plane, requiring a two-step process to find the new coordinates of the vertices. The translation moves the triangle down and left, while the rotation is a 90-degree clockwise turn around the origin. Without the original coordinates, we cannot provide specific final locations for the vertices.
Step-by-step explanation:
The problem involves translating and rotating a triangle in the coordinate plane, which is a common exercise in geometry. To find the new coordinates of the vertices of the translated and rotated triangle, we will follow two steps: translation and rotation.
- During translation, every point of the triangle is moved 2 units down (which means 2 units subtracted from the y-coordinate) and 1 unit to the left (which means 1 unit subtracted from the x-coordinate).
- The rotation is done clockwise by 90 degrees around the origin. The new coordinates after the rotation can be found by using the rules of rotation: if a point has the coordinates (x, y) before the rotation, after a 90-degree clockwise rotation around the origin, the new coordinates will be (y, -x).
Applying these operations to the vertices A, B, and C, we would get new coordinates for each vertex, but since the original coordinates are not provided in the question, we cannot give a numerical answer.
Note: To obtain the final answer, original coordinates for vertices A, B, and C are needed. Without knowing the starting positions of the vertices, the final positions after the transformation cannot be determined.