Answer:
See Explanation
Step-by-step explanation:
Given
Shape: Quadrilateral ABCD
Transformations:
180 degrees rotation
3 units left
7 units up
Required
Determine A′B′C′D
The coordinates of ABCD is not given; So, I will solve generally.
Assume the coordinates of ABCD is (x,y)
When (x,y) is rotated 180 degrees, the new point is: (-x, -y)
Solving further:
Translation 3 units left
When a point (x,y) is translated b units left, the new point is (x - b, y).
So:
[tex](-x, -y) ====> (-x - 3, -y)[/tex]
Translation 7 units up
When a point (x,y) is translated h units up, the new point is (x, y + b).
So:
[tex](-x - 3, -y) ====> (-x - 3, -y + 7)[/tex]
Assume that the coordinates of A in ABCD before translation is (2,6).
i.e. A = (2,6)
The image A' will be:
[tex]A' = (-2-3,-6+7)[/tex]
[tex]A' = (-5,1)[/tex]
