Trapezoid ABCD is shown on the graph. If the trapezoid is rotated 90 degrees counterclockwise about the origin and the resulting image is translated 6
units left, what are the coordinates of C"?

The coordinates of C" are (-7, 4)

Step-by-step explanation:

From the given figure

∵ ABCD is a trapezoid

∵ The coordinates of the ponit C are (4, 1)

∴ x = 4 and y = 1

∵ The trapezoid is rotated 90 degrees counterclockwise about the origin

→ By using the 1st rule above, change the sigh of y and switch them

∴ C' = (-y, x)

∴ C' = (-1, 4)

∵ The resulting image is translated 6 units left

→ By using the 2nd rule above subtract the x-coordinate by 6

∴ C" = (x - h, y)

∵ h = 6

∵ x = -1 and y = 4

∴ C" = (-1 - 6, 4)

∴ C" = (-7, 4)

∴ The coordinates of C" are (-7, 4)

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