Quadrilateral ABCD is rotated 90 dergees about the origin. What are the coordinates of the quadrilateral A'B'C'D.
no idea, but such a (counterclockwise) rotation takes (x,y)→(-y,x)
To find the coordinates of the quadrilateral A'B'C'D' after rotating it 90 degrees counterclockwise about the origin, you'll need the coordinates of the vertices of the original quadrilateral ABCD.
Let's assume the coordinates of the vertices of the original quadrilateral ABCD are as follows:
A = (x₁, y₁)
B = (x₂, y₂)
C = (x₃, y₃)
D = (x₄, y₄)
To rotate a point (x, y) 90 degrees counterclockwise about the origin, the new coordinates (x', y') can be found using the following formulas:
x' = -y
y' = x
Applying these formulas to each vertex of the original quadrilateral ABCD, you can find the coordinates of the quadrilateral A'B'C'D':
A' = (-y₁, x₁)
B' = (-y₂, x₂)
C' = (-y₃, x₃)
D' = (-y₄, x₄)
These coordinates represent the vertices of the rotated quadrilateral A'B'C'D'.