Question

Rectangle ZYXW has vertices Z ( -1,-4) , Y (0,-2), X (4,0), and W (3,-4). What will be the vertices of the rotated image if the rectangle is rotated around the origin counterclockwise by 90 degrees?

Answer 1

The coordinates of the rotated image are Z' = (4,-1), Y' = (2,0), X' = (0,4) and W' = (4,3)

How to determine the vertices of the image?

The points are given as:

Z ( -1,-4) , Y (0,-2), X (4,0), and W (3,-4)

The rule of rotation around the origin counterclockwise by 90 degrees is

(x,y) => (-y,x)

Using the above rule, we have:

Z' = (4,-1)

Y' = (2,0)

X' = (0,4)

W' = (4,3)

Hence, the coordinates of the rotated image are Z' = (4,-1), Y' = (2,0), X' = (0,4) and W' = (4,3)

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