Question

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.

Answer 1

B

Explanation:

Reflection across y- axis: The transformation rule is given by

`(x,y)\rightarrow (-x,y)`

There are x- coordinate change into negative x- coordinate and y coordinate remain same after reflection.

If a figure is reflected across the y- axis then the y- coordinate of the vertices in the reflection will be the same as those in the original figure and x- coordinates of the vertices in the reflection will be opposite of those in the original figure

Hence, option B is true.