Question

The vertices of AABC are A(-4,5), B(-2,3), and C(-5,3). If AABC is reflected across the line y = - 2 to produce the image AABC, find the coordinates of the vertex B.

Answer 1

To find the coordinates of the vertex B after reflecting AABC across the line y = -2, we need to find the image of the original point B. When a point is reflected across a line, the x-coordinate remains the same while the y-coordinate changes sign. So, the coordinates of the vertex B' are (-2, -3).

Step-by-step explanation:

To find the coordinates of the vertex B after reflecting AABC across the line y = -2, we need to find the image of the original point B.

When a point is reflected across a line, the x-coordinate remains the same while the y-coordinate changes sign. So, the x-coordinate of the image B' will be the same as the x-coordinate of B (-2), and the y-coordinate of B' will be (-1) times the y-coordinate of B (3). Therefore, the coordinates of the vertex B' are (-2, -3).