Final answer:
To find the coordinates of the third vertex in triangle B, use the fact that triangle B is a reflection of triangle A in the x-axis.
Step-by-step explanation:
To find the coordinates of the third vertex in triangle B, we can use the fact that triangle B is a reflection of triangle A in the x-axis. This means that the y-coordinates of the vertices of triangle B will be the opposite of the y-coordinates of the corresponding vertices in triangle A.
Given that two of the vertices of triangle B are (-10,-20) and (15,-18), we can determine the y-coordinate of the third vertex in triangle B by taking the opposite of the y-coordinate of the corresponding vertex in triangle A. The corresponding vertex in triangle A would be (-10,20), so the y-coordinate of the third vertex in triangle B would be -20.
Therefore, the coordinates of the third vertex in triangle B are (-10,-20).