What general statement can you use to determine the ordered pairs of the vertices of a figure if it is reflected across the y-axis?
A. If a figure is reflected across the y-axis, the x-coordinates of the vertices in the reflection will be the same as those in the original figure and the y-coordinates of the vertices in the reflection will be the opposite of those in the original figure.
B. If a figure is reflected across the y-axis, the x-coordinates of the vertices in the reflection will be the opposite of those in the original figure and the y-coordinates of the vertices in the reflection will be the same as those in the original figure.
C. If a figure is reflected across the y-axis, the x-coordinates of the vertices in the reflection will be the opposite of those in the original figure and the y-coordinates of the vertices in the reflection will also be the opposite as those in the original figure.
The correct statement is option B. If a figure is reflected across the y-axis, the x-coordinates of the vertices in the reflection will be the opposite of those in the original figure, and the y-coordinates of the vertices in the reflection will be the same as those in the original figure.
To understand why, let's take a closer look at reflecting a figure across the y-axis. The y-axis is the vertical line on a coordinate plane that serves as the axis of symmetry. When a figure is reflected across the y-axis, each point on the figure is flipped to the opposite side of the y-axis, while maintaining the same distance from the y-axis.
In a coordinate plane, any point can be represented as an ordered pair (x, y), where x is the x-coordinate and y is the y-coordinate. When a point is reflected across the y-axis, the x-coordinate changes sign (from positive to negative or from negative to positive), while the y-coordinate remains the same.
Therefore, to determine the ordered pairs of the vertices of a figure reflected across the y-axis, you simply change the sign of the x-coordinate while keeping the y-coordinate the same. This is why option B correctly states that "the x-coordinates of the vertices in the reflection will be the opposite of those in the original figure, and the y-coordinates of the vertices in the reflection will be the same as those in the original figure."
For starters, if you reflect over the y-axis, do the x-coordinates remain the same?
No they don't
also I think its C