Answer:
(0, -2)
Step-by-step explanation:
The question is not complete, the coordinates of point A are not given. Let us assume A = (3, 2).
If a point D
is rotated about a point E(
), First E is made the center of origin. This is done by making a new point F = D - E. Therefore F =
.
If a point D
is rotated 180 degrees, the new ordinates becomes ![D'(-x_1,-y_1)](https://tex.z-dn.net/?f=D%27%28-x_1%2C-y_1%29)
If a point D
is translated x units down,, the new ordinates becomes ![D'(x_1,y_1-x)](https://tex.z-dn.net/?f=D%27%28x_1%2Cy_1-x%29)
Let us assume A = (3, 2).
If ABCDE is rotated 180 degrees clockwise around A, Firstly A is made the center of origin. For point A, the new point by making A the center of origin is A' = A - A = (3, 2) - (3, 2) = (3-3, 2-2) = (0, 0). Therefore the 180 degrees rotation becomes A'' = (-0, -0) = (0,0)
If it is then translated 2 units down, the new coordinates are (0, 0-2) = (0, -2)