Point B(2, -10) reflected over the y-axis and rotated 180° clockwise becomes B''(2, 10).
To find the coordinates of the image of point B(2, -10) after a reflection over the y-axis and a 180° clockwise rotation, we can apply each transformation separately.
1. Reflection over Y-axis:
The reflection over the y-axis changes the sign of the x-coordinate while keeping the y-coordinate unchanged. So, point B' after reflection becomes (-2, -10).
2. 180° Clockwise Rotation:
The 180° clockwise rotation swaps the x and y coordinates and negates both. Applying this to B', we get B'':
B''(10, 2)
Therefore, the coordinates of the image of point B(2, -10) after the reflection over the y-axis and a 180° clockwise rotation are B''(10, 2).