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The fill up of the coordinates of A' , B' , C' , and D' are given below:
- A= (2, -3),
- B= (5, -5),
- C= (7, -3)
- D= (5, -2).
The figure ABCD is known to be reflected across the X-axis and thus we have to look for the co-ordinates of A, B, C and D after reflection occurs.
Using the figure attached, we can see that the co-ordinates of the vertices of ABCD are A(2, 3), B(5, 5), C(7, 3) and D(5, 2).
After reflection from X-axis, the y co-ordinate of each vertex will be altered to its sign (y → -y).
So, the vertices of ABCD after reflection are seen as:
A(2, 3) = A'(2, -3),
B(5, 5) = B'(5, -5),
C(7, 3) = C'(7, -3),
D(5, 2) = D'(5, -2).
Therefore, we can say that the needed vertices after reflection are:
- A= (2, -3),
- B= (5, -5),
- C= (7, -3)
- D= (5, -2).
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