Question

Triangle ABC is transformed to Triangle XYZ. If A(2, 4), B(-1, 0), and C(3, -7) are the points given... The following transformations occured: Refection over the line y=x, rotation 90° counterclockwise, and translation (x + 2, y - 5). Where will point Y be after the transformation?

Answer 1

Answer: (4, -2)

Explanation:

After the transformation, point Y will be located at the coordinates (4, -2). this can be determined by first reflecting point A over the line y= x, which results in the coordinates (4, 2). Then, the point is rotated 90 degrees counterclockwise, which results in the coordinates (-2, 4). Finally, the point is translated (x + 2, y - 5), which results in the coordinates (4 , -2).