Question

Quadrilateral ABCD has vertices A(–2, 4), B(1, 3), C(2, –3), and D(–3, –1). Graph quadrilateral ABCD and its image after a rotation of 90° counterclockwise about (−1, 2)

Answer 1

Answer:

(-3 , 1)(-2,4) (4,5) (2,0)

Step-by-step explanation:

Rotation around center (x₀ , y₀), counterclockwise rotation θ degree

x₂ = (x₁-x₀)cosθ - (y₁-y₀)sinθ + x₀  

y₂ = (x₁-x₀)sinθ + (y₁-y₀)cosθ + y₀

A(-2.4) -> counterclockwise rotation 90°

F(x,y): x = (-2+1)cos90° - (4-2)sin90° + (-1) = -3

          y = (-2+1)sin90° + (4-2)cos90° + 2 = 1

F (-3 , 1)

Use the above formula to calculate other 3 points: (-2,4) (4,5) (2,0)