Reflect square ABCD with respect to the X-axis and the Y-axis what are the vertices of square A'B'C'D

Answer 1

To reflect square ABCD with respect to the X-axis, we simply take the y-coordinates of each vertex and negate them.

The vertices of square ABCD are: A(1,1), B(1,-1), C(-1,-1), D(-1,1)

Reflecting square ABCD with respect to the X-axis, we negate the y-coordinates:

- A(1,-1)
- B(1,1)
- C(-1,1)
- D(-1,-1)

To reflect square ABCD with respect to the Y-axis, we take the x-coordinates of each vertex and negate them.

The vertices of square ABCD are: A(1,1), B(1,-1), C(-1,-1), D(-1,1)

Reflecting square ABCD with respect to the Y-axis, we negate the x-coordinates:

- A(-1,1)
- B(-1,-1)
- C(1,-1)
- D(1,1)

Therefore, the vertices of the reflected square A'B'C'D are:

A'(-1,1)
B'(-1,-1)
C'(1,-1)
D'(1,1)