Question

The vertices of triangle ABC are A(5,4), B(2,3), and C(3,2). If triangle ABC is reflected across the yaxis to produce the image triangle A'B'C', find the coordinate of the vertex B'.

Answer 1

The coordinates of vertex B' after reflecting triangle ABC across the y-axis are (-2, 3), obtained by negating the x-coordinate of the original vertex B while keeping the y-coordinate the same.

Step-by-step explanation:

To find the coordinates of vertex B' after reflecting triangle ABC across the y-axis, we observe that reflecting a point across the y-axis changes the sign of the x-coordinate while leaving the y-coordinate unchanged.

The original coordinates of vertex B are (2,3). Hence, after reflecting across the y-axis, the x-coordinate will change sign from 2 to -2, while the y-coordinate will remain the same, 3.

Therefore, the coordinates of vertex B' after the reflection are (-2, 3).