Question

Trapezoid QRST with vertices Q(2, 1), R(2,5),
S(4, 5), and T(8, 1): 90° clockwise
Get qrst

Answer 1

The trapezoid's coordinates after a 90° clockwise rotation are Q(-1, 2), R(-5, 2), S(-5, 4), T(-1, 8).

Step-by-step explanation:

To find the coordinates of the trapezoid QRST after a 90° clockwise rotation, we can use the rotation formula: (x', y') = (x*cosθ - y*sinθ, x*sinθ + y*cosθ)

The point Q(2, 1) after the rotation becomes:

(2*cos(90°) - 1*sin(90°), 2*sin(90°) + 1*cos(90°)) = (-1, 2)

Similarly, the other points after the rotation are:

R(-5, 2), S(-5, 4), and T(-1, 8)