hat is the final position of point A(7, 8) after a translation of 2 units left, 1 unit down, and followed by a 180°
clockwise rotation around the origin?
To find the final position of point A after the given transformations, we need to perform the transformations in order.
1. Translation of 2 units left and 1 unit down:
The translation moves the point horizontally by 2 units to the left and vertically by 1 unit down. Therefore, the new coordinates of point A after the translation are (7-2, 8-1) = (5, 7).
2. 180° clockwise rotation around the origin:
To rotate a point 180° clockwise around the origin, we switch the signs of both coordinates. The new coordinates of point A after the rotation are (-5, -7).
Therefore, the final position of point A after the translation and rotation is (-5, -7).