Quadrilateral ABCD has vertices at A(6,3), B(3,9), C(6,6) and D(12,3).It is reflected across the y axis. What are the new coordinates. Explain
To find the new coordinates of the reflected quadrilateral across the y-axis, we need to flip the x-coordinates while keeping the y-coordinates the same.
Let's go through each vertex one by one:
Vertex A: The original coordinates are A(6,3). When reflecting across the y-axis, we flip the x-coordinate, so the new x-coordinate becomes -6, while the y-coordinate remains the same. Therefore, the new coordinates for A are A'(-6,3).
Vertex B: The original coordinates are B(3,9). Reflecting across the y-axis, we flip the x-coordinate, so the new x-coordinate becomes -3. Since the y-coordinate remains the same, the new coordinates for B are B'(-3,9).
Vertex C: The original coordinates are C(6,6). Reflecting across the y-axis, we flip the x-coordinate, so the new x-coordinate becomes -6. The y-coordinate remains the same, so the new coordinates for C are C'(-6,6).
Vertex D: The original coordinates are D(12,3). Reflecting across the y-axis flips the x-coordinate, so the new x-coordinate becomes -12. The y-coordinate remains the same, so the new coordinates for D are D'(-12,3).
Therefore, the new coordinates for the reflected quadrilateral ABCD are A'(-6,3), B'(-3,9), C'(-6,6), and D'(-12,3).