Reflect square A(3, -4) B(7, -4) C(7, 8) D(3, -8) with respect to the x-axis and the y-axis. What are the vertices of square A’ B’ C’ D?
Reflecting square ABCD across the x-axis:
- The x-coordinate of each point remains the same, while the y-coordinate changes sign.
- So, A(3, -4) becomes A'(3, 4).
- B(7, -4) becomes B'(7, 4).
- C(7, 8) becomes C'(7, -8).
- D(3, -8) becomes D(3, 8).
Reflecting square ABCD across the y-axis:
- The y-coordinate of each point remains the same, while the x-coordinate changes sign.
- So, A(3, -4) becomes A'(-3, -4).
- B(7, -4) becomes B'(-7, -4).
- C(7, 8) becomes C'(-7, 8).
- D(3, -8) becomes D'(-3, -8).
The vertices of square A'B'C'D' after reflecting across the x-axis are A'(3, 4), B'(7, 4), C'(7, -8), D'(3, 8).
The vertices of square A'B'C'D' after reflecting across the y-axis are A'(-3, -4), B'(-7, -4), C'(-7, 8), D'(-3, -8).