Answer: The required vertices after reflection are A'(2, -3), B'(5, -5), C'(7, -3) and D'(5, -2).
Step-by-step explanation: Given that the figure ABCD is reflected across the X-axis.
We are to find the co-ordinates of A, B, C and D after reflection.
From the figure, we note 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 change its sign (y → -y).
Therefore, the vertices of ABCD after reflection are
A(2, 3) ⇒ A'(2, -3),
B(5, 5) ⇒ B'(5, -5),
C(7, 3) ⇒ C'(7, -3),
D(5, 2) ⇒ D'(5, -2).
Thus, the required vertices after reflection are A'(2, -3), B'(5, -5), C'(7, -3) and D'(5, -2).
