Question

Figure ABCD is reflected across the x-axis.

What are the coordinates of
of A'B'C', and D'₂
Enter your answer by filling in the boxes.
A'Go
B'GD
C'OD
D'OD

Answer 1

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).