Question

If rectangle stuv translated using the rule (xy)(2, y4) and then rotated 90counterclockwise, what is the location of s?

Answer 1

To find the location of point S after translating and rotating a rectangle, we need to apply the given transformations: translation and rotation. By following the provided steps, we can determine the final location of point S.

Step-by-step explanation:

To find the location of point S after translating and rotating rectangle STUV, we need to follow the given transformations. The translation rule (xy)(2, y4) moves each point (x, y) to (x + 2, y + 4). Then, to rotate the rectangle 90 degrees counterclockwise, we use the rotation transformation equations x' = x * cos(q) + y * sin(q) and y' = -x * sin(q) + y * cos(q). Applying these equations to point S, we can determine its final location.